Question

Two APs have the same common difference. The difference between their
100th terms is 100 what is the difference between their 1000th terms?
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Answer 1

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:

GIVEN :

1. Two AP have the same common difference.

2. The difference between thier 100th term is 100.

TO FIND:

The difference between thier 1000th term?

SO,

According to question:

we use the formula :

$a + (n - 1)d$

where

$a = first \: term$

$d = common \: differnce$

$a100 - b100 = 100 \\ (a + 99d) - (b + 99d) = 100 \\ a + 99d - b - 99d = 100 \\ a - b = 100.....(eq.1)$

NOW,

$a1000 - b1000$

$(a + (1000 - 1)d) - (b + (1000 - 1)d) \\ (a + 999d) - (b + 999d) \\ a + 999d - b - 999d \\ a - b$

from EQ. 1

$a - b = 100$

FINAL ANSWER :

THE DIFFERENCE BETWEEN THEIR 1000TH TERM IS 100.

PLZ MARK AS BRAINLIEST