Question

The sum of the 5th and 9th term of AP is 1530. if its 25th term is three times its 8th term. find the AP.

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Answer 1

Step-by-step explanation:

nth term tn=a+(n−1)d

a= First term

d= Common difference

n= number of terms

tn=nth term

Given 

T5+T9=30

a+4d+a+8d=30

2a+12d=30

a+6d=15

a=−6d+15

now

T25=3T8

a+24d=3(a+7d)

24d−21d=3a−a

3d=2a

3d=2(6d−15)

15d=30

d=2

a=15−6×2

a=3

The AP is 3,5,7,9.........

Answer 2

Answer:

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