Question

FROM CHAPTER ARITHEMETIC PROGRESSIONS

CLASS 10


Two APs have the same common differences. The difference between their 100th terms is 100,what is the difference between the 1000th terms? ​

Answer 1

Answer:

100

Step-by-step explanation:

Mark as brain list ........

Answer 2

Step-by-step explanation:

an = 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,

bn =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−999= 100