Question

Two APs have the same common difference. The difference between their 100th terms is
100, what is the difference between their 1000th terms?​

Answer 1

Answer:

Difference between their 1000th terms will be the same

Let 2 APs be as follows… ( Their common difference is 'd' )

a , a+d, a+2d, a+3d,………….

b, b+d, b+2d, b+3d,……….

Difference between their 100th terms

(a+99d) - (b+ 99d) = 100 ( by given condition)

=> a - b = 100

Now, difference between their 1000th terms

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

= a + 999d - b - 999d

= a - b= 100

Step-by-step explanation:

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