# CBSE Class 10-Mathematics: Chapter – 5 Arithmetic Progressions Part 1 (For CBSE, ICSE, IAS, NET, NRA 2022)

Get top class preparation for CBSE/Class-10 right from your home: get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-10.

## One of the Endlessly Alluring Aspects of Mathematics is That Its Thorniest Paradoxes Have a Way of Blooming into Beautiful Theories

**Question 1**:

The fourth term of an AP is . Prove that its 25^{th} term is triple 11^{th} term.

**Answer**:

T. P

RHS sub

LHS

Hence proved

**Question 2**:

Find the 20^{th} term from the end of the AP .

**Answer**:

.

Last term

from end

**Question 3**:

If the term of an AP is and respectively, show that

**Answer**:

Hence proved

**Question 4**:

Find the sum of first positive integers divisible by also find the sum of first positive integers divisible by or

**Answer**:

No՚s which are divisible by are

No՚s div by 5 or 6

**Question 5**:

A man arranges to pay a debt of ₹ 3600 in 40 monthly installments which are in a AP. When 30 installments are paid, he dies leaving one third of the debt unpaid. Find the value of the first installment.

**Answer**:

Let the value of I installment be

Solve 1 & 2 to get

I installment