**Selina Concise Mathematics Class 10 ICSE Solutions Arithmetic Progression**

APlusTopper.com provides step by step solutions for Selina Concise ICSE Solutions for Class 10 Mathematics Chapter 10 Arithmetic Progression. You can download the Selina Concise Mathematics ICSE Solutions for Class 10 with Free PDF download option. Selina Publishers Concise Mathematics for Class 10 ICSE Solutions all questions are solved and explained by expert mathematic teachers as per ICSE board guidelines.

Download Formulae Handbook For ICSE Class 9 and 10

ICSE SolutionsSelina ICSE Solutions

**Selina ICSE Solutions for Class 10 Maths Chapter 10 Arithmetic Progression**

**Exercise 10(A)**

**Question 1.**

**Solution:**

**Question 2.**

The nth term of sequence is (2n – 3), find its fifteenth term.

**Solution:**

**Question 3.**

If the pth term of an A.P. is (2p + 3), find the A.P.

**Solution:**

**Question 4.**

Find the 24th term of the sequence:

12, 10, 8, 6,……

**Solution:**

**Question 5.**

**Solution:**

**Question 6.**

**Solution:**

**Question 7.**

**Solution:**

**Question 8.**

Is 402 a term of the sequence :

8, 13, 18, 23,………….?

**Solution:**

**Question 9.**

**Solution:**

**Question 10.**

**Solution:**

**Question 11.**

Which term of the A.P. 1 + 4 + 7 + 10 + ………. is 52?

**Solution:**

**Question 12.**

If 5th and 6th terms of an A.P are respectively 6 and 5. Find the 11th term of the A.P

**Solution:**

**Question 13.**

**Solution:**

**Question 14.**

Find the 10th term from the end of the A.P. 4, 9, 14,…….., 254

**Solution:**

**Question 15.**

Determine the arithmetic progression whose 3rd term is 5 and 7th term is 9.

**Solution:**

**Question 16.**

Find the 31st term of an A.P whose 10th term is 38 and 10th term is 74.

**Solution:**

**Question 17.**

Which term of the services :

21, 18, 15, …………. is – 81?

Can any term of this series be zero? If yes find the number of term.

**Solution:**

**Exercise 10(B)**

**Question 1.**

In an A.P., ten times of its tenth term is equal to thirty times of its 30th term. Find its 40th term.

**Solution:**

**Question 2.**

How many two-digit numbers are divisible by 3?

**Solution:**

**Question 3.**

Which term of A.P. 5, 15, 25 ………… will be 130 more than its 31st term?

**Solution:**

**Question 4.**

Find the value of p, if x, 2x + p and 3x + 6 are in A.P

**Solution:**

**Question 5.**

If the 3rd and the 9th terms of an arithmetic progression are 4 and -8 respectively, Which term of it is zero?

**Solution:**

**Question 6.**

How many three-digit numbers are divisible by 87?

**Solution:**

**Question 7.**

For what value of n, the nth term of A.P 63, 65, 67, …….. and nth term of A.P. 3, 10, 17,…….. are equal to each other?

**Solution:**

**Question 8.**

Determine the A.P. Whose 3rd term is 16 and the 7th term exceeds the 5th term by 12.

**Solution:**

**Question 9.**

If numbers n – 2, 4n – 1 and 5n + 2 are in A.P. find the value of n and its next two terms.

**Solution:**

**Question 10.**

**Solution:**

**Question 11.**

If a, b and c are in A.P show that:

(i) 4a, 4b and 4c are in A.P

(ii) a + 4, b + 4 and c + 4 are in A.P.

**Solution:**

**Question 12.**

An A.P consists of 57 terms of which 7th term is 13 and the last term is 108. Find the 45th term of this A.P.

**Solution:**

**Question 13.**

4th term of an A.P is equal to 3 times its first term and 7th term exceeds twice the 3rd time by I. Find the first term and the common difference.

**Solution:**

**Question 14.**

The sum of the 2nd term and the 7th term of an A.P is 30. If its 15th term is 1 less than twice of its 8th term, find the A.P

**Solution:**

**Question 15.**

In an A.P, if mth term is n and nth term is m, show that its rth term is (m + n – r)

**Solution:**

**Question 16.**

Which term of the A.P 3, 10, 17, ………. Will be 84 more than its 13th term?

**Solution:**

**Exercise 10(C)**

**Question 1.**

Find the sum of the first 22 terms of the A.P.: 8, 3, -2, ………..

**Solution:**

**Question 2.**

How many terms of the A.P. :

24, 21, 18, ……… must be taken so that their sum is 78?

**Solution:**

**Question 3.**

Find the sum of 28 terms of an A.P. whose nth term is 8n – 5.

**Solution:**

**Question 4(i).**

Find the sum of all odd natural numbers less than 50

**Solution:**

**Question 4(ii).**

Find the sum of first 12 natural numbers each of which is a multiple of 7.

**Solution:**

**Question 5.**

Find the sum of first 51 terms of an A.P. whose 2nd and 3rd terms are 14 and 18 respectively.

**Solution:**

**Question 6.**

The sum of first 7 terms of an A.P is 49 and that of first 17 terms of it is 289. Find the sum of first n terms

**Solution:**

**Question 7.**

The first term of an A.P is 5, the last term is 45 and the sum of its terms is 1000. Find the number of terms and the common difference of the A.P.

**Solution:**

**Question 8.**

Find the sum of all natural numbers between 250 and 1000 which are divisible by 9.

**Solution:**

**Question 9.**

The first and the last terms of an A.P. are 34 and 700 respectively. If the common difference is 18, how many terms are there and what is their sum?

**Solution:**

**Question 10.**

In an A.P, the first term is 25, nth term is -17 and the sum of n terms is 132. Find n and the common difference.

**Solution:**

**Question 11.**

If the 8th term of an A.P is 37 and the 15th term is 15 more than the 12th term, find the A.P. Also, find the sum of first 20 terms of A.P.

**Solution:**

**Question 12.**

Find the sum of all multiples of 7 between 300 and 700.

**Solution:**

**Question 13.**

**Solution:**

**Question 14.**

The fourth term of an A.P. is 11 and the term exceeds twice the fourth term by 5 the A.P and the sum of first 50 terms

**Solution:**

**Exercise 10(D)**

**Solution 1.**

**Solution 2.**

**Solution 3.**

**Solution 4.**

**Solution 5.**

**Solution 6.**

**Solution 7.**

**Solution 8.**

**Solution 9.**

**Solution 10.**

**Solution 11.**

**Solution 12.**

**Solution 13.**

**Solution 14.**

**Exercise 10(E)**

**Solution 1.**

**Solution 2.**

**Solution 3.**

**Solution 4.**

**Solution 5.**

**Solution 6.**

**Solution 7.**

**Exercise 10(F)**

**Solution 1.**

**Solution 2.**

**Solution 3.**

**Solution 4.**

**Solution 5.**

**Solution 6.**

**Exercise 10(G)**

**Solution 1.**

**Solution 2.**

**Solution 3.**

**Solution 4.**

**Solution 5.**

**Solution 6.**

**Solution 7.**

**Solution 8.**

**Solution 9.**

**Solution 10.**

**Solution 11.**

**Solution 12.**

**Solution 13.**

**Solution 14.**

**Solution 15.**

**Solution 16.**

**Solution 17.**

**Solution 18.**

**Solution 19.**

**Solution 20.**

**More Resources for Selina Concise Class 10 ICSE Solutions**

Ria panjwani says

arithmetic progression exercises with answers helped me a lot. Thank you so much

Thank you

Ankita joshi says

arithmetic progression questions and answers class 10 pdf is nice. Plz sir AP ki aage ki exercise v btaye…

JYOTSANA says

arithmetic progression for class 10 icse Very good very helpful

Shrinidhi says

arithmetic progression class 10 icse solutions are nice. Sir can i download it

Ayush says

arithmetic progression class 10 icse selina has helped me a lot to find my answer’s

Ayush says

arithmetic progression class 10 solutions are very very much useful for studies Can u please also put next exercises

Bharath says

class 10 ap solutions are Superb really the best exercises for class 10

sanskar says

Thanks for yor help in class 10 arithmetic progression solutions

Stuti says

arithmetic progression icse class 10 was really helpful……i respect ur knowledge sir……plzzz sir give solutions of next exercises also if u can

Ishika singh says

arithmetic progression lesson are very helping… Thank you alot for ur help…bt plzz aap A.P ki aage ki exercises v btaiye….its a request

Rahul says

arithmetic progression class 10th are really helpful for those who are not going to tutions thank you sir. plz february 1 se pehle aage ki answers chaahiye.

Archita says

arithmetic progression class 10 icse notes #Thanku sir..

Bindu Aradhya says

chapter arithmetic progression of class 10th. Thank you so much…

Sampurna says

arithmetic progression class 10 questions helped me a lot. Thank you very much 😍😍😍😍😍😍😍😍😍

Siva Prasad says

arithmetic progression solution class 10 icse are Very helpful

Thnx a lot

Simon says

arithmetic progression class 10 pdf very helping… Great work. Thnkew so much

☺️☺️

Siddhi says

Tysm…arithmetic progression answers helped me alot…really very helpful…thnx once again

Garima hatwal says

arithmetic progression solutions class 10 really beneficial. Thanks for your answers to class 10 chapter arithmetic progression

Siva says

i love arithmetic progression icse solutions Tq so much

arithmetic progression of class 10 helped me a lot in our board exam😚😚😚

Adikanda Sahoo says

arithmetic progression questions and answers class 10 pdf Really helpful. Thanks for class 10 arithmetic progression solutions

Swapna says

arithmetic progression exercises with answers are great.. Thanks a lot sir for class 10 ap solutions. ur gentle help of to many of us.

Tejas says

arithmetic progression class 10 solutions Very helpful

Thanks

Akshit sharma says

arithmetic progression class 10 icse selina Very helpful in the times of exam …….

Anurag Prashar says

arithmetic progression class 10 icse solutions are Very helpful in before my exam’s last night

And also write answers to AP

THANKS A LOT

May God Bless You

Vinat says

arithmetic progression for class 10 icse has helped me in the tough times when i want the answers

Thanks

Biswajit mallick says

arithmetic progression questions and answers class 10 pdf APlus topper is best for exam time

Biswajit mallick says

arithmetic progression exercises with answers are nice. APlus topper is best help full in my life because my doubts is easily solution

maheshbabu says

it is very helpful

Kaneki Ken (Kausthubha ) says

Dam it this website is not able provide answers for last two exercises I thought this as the best one but dam it

sagar malik says

very good worke you do

Aditya says

Thanks aplustopper u have improved my maths

atifkamal says

Last exercise is not in way ….it does not matches with thee book.plz update AP exercises

Thank you

dks says

Exercise 10 (A) the 18th,19th & 20th sums are missing…….

Amisha Gupta says

One exercise is messing from this chapter

AYUSH MOHIL says

It’s really helped me

Asmit says

Super

Avanthika says

It is good for those who r weak in AP ,like me