two APs have the same common difference the difference btw their 100th term is 100 what is the difference between their 1000th term
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Answered by
1
Answer:
i hope it helps you
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Answered by
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).
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