Question

If the 7th term of an AP is 1/9and 9th term is 1/7 find its 63rd term

Answer 1

you see your answer by the reverse direction of smartphone

Answer 2

HEYA! HERE IS YOUR ANSWER:

Given,

If the 7th term is 1/9

=> a7=1/9

=> a+ 6d= 1/9 ~ eq(1)

If the 9th term is 1/7

=> a9=1/7

=>a+ 8d=1/7 ~ eq(2)

SOLVE EQUATION 1 & 2

2d= 1/7-1/9

2d=9-7/63

2d=2/63

d=1/63

SUBSTITUTE d VALUE IN EQUATION 1

a+ 6d = 1/9

a+ 6(1/63)= 1/9

a+ 6= 1/9*63

a+ 6= 7

a= 1

63rd term of AP

a63= a+ 62d

a63=1+ 62*(1/63)

a63= 63 +62/63

a63=125/63

Therefore the 63rd term is 125/63

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