Question

Hey!

Two A.Ps have the same common difference. The difference between thier 100th term is 100. What is the difference of 1000th term.

Kindly explain the steps.

Grade 10 CBSE

Answer 1

Hi Friend !!!

Here is ur answer !!!

Let first AP be

a1 , a2 , a3 , a4 .....an

common difference = a2-a1

Second AP

b1 , b2 , b3 , ......bn

Common difference = b2-b1

Common difference is equal

a2-a1 = b2-b1

100th terms difference is 100

a100 - b100 = 100

a+99d - (b+99d) = 100

a+99d-b-99d = 100

a-b = 100 ------(1)

1000th term difference

a1000 - b1000

= a+999d- (b+999d)

= a+999d-b-999d

= a-b

= 100

Hope it helps u : )

Answer 2

hey here is your answer