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

Answer:

your answer is here.....

Answer 2

difference between them will be 100

Step-by-step explanation:

ANSWER

a

n

=a+(n−1)d

100th term will be,

a

100

=a+(100−1)d

a

100

=a+99d

100th term of 1st Ap = a + 99d

2nd AP will be,

b

n

=b

n

+(n−1)d

b

100

=b+99d

a

100

−b

100

=100

(a+99d)−(b+99d)=100

a−b=100...(1)

Difference between 1000th term,

=a

1000

−b

1000

=a+(1000−1)d)−[b+(1000−1)d]

=a−b+999d−999d

=

100