Question

two APs have the same common difference the difference btw their 100th term is 100 what is the difference between their 1000th term​

Answer 1

Answer:

i hope it helps you

refer that pic

Answer 2

Answer:

a1000 - b1000 = 100

Step-by-step explanation:

let an - bn = a1000 - b1000

⇒first AP = a1, a2, a3, a4 ..........an

⇒second AP = b1, b2 , b3 , b4 ...........bn

⇒common difference is the same in both AP.

⇒ a1 - b1 = 100 (Given).................. (1)

⇒a100 - b100 = 100 (Given)

⇒Now, subtracting the equations below,

  an = a1 + (n-1)d

  bn = b1 + (n-1)d

= an - bn = a1 - b1

⇒ a1000 - b1000 = a1 - b1

⇒ a1000 - b1000 = 100 .................. (From 1).