Question

.
Two APs have the same common difference. The difference between their 100" terms is
100. What is the difference between their 1000 terms?​

Answer 1

Answer:

100

Step-by-step explanation:

for 1st AP,

let a(1) = A

common difference = d

for 2nd AP,

let a(1) = B

common difference= d (as both have same common difference)

difference of 100th term = [A+(100-1)d ] - [B+(100-1)d]

=> 100 = A - B.........1

difference of 1000tg term = [A+ (1000-1)d ] - [B+(1000-1)d]

difference= A-B

=> difference of 1000th term = 100 {from 1}