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

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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 25th term is triple 11th term.

Answer:

T. P

RHS sub

LHS

Hence proved

Question 2:

Find the 20th 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