# CBSE Class 10-Mathematics: Chapter –5 Arithmetic Progressions Part 1

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## 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 Rs. 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