Question

7th term of an AP is1/9and 9th term is 1/7.find AP and it's 63rd term

Answer 1

HEY

HERE IS ANSWER

Question -

7th term of an AP is1/9and 9th term is 1/7.find AP and it's 63rd term

Now

Solution -

Given - 7th term of an AP is1/9and 9th term is 1/7.

To find-

find AP and it's 63rd term


Step by step solution=

=> a7=1/9

=> a9=1/7

hence

= a+6d=1/9________(1)

And

= a+8d=1/7_________(2)



from equation 1 and 2 we get


a+6d=1/9
a+8d=1/7
- - -
_________

-2d= -2/63

2d=2/63

d=2/63/2

d=1/63.

hence

put the value of d in equation 1

a+6d=1/9

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

a+6/63=1/9

a+2/21=1/9

a+2=21/9

9(a+2)=21

9a+18=21

9a=21-18

9a=3

a=3/9

a=1/3


Hence

63rd term

= a+62d

1/3+62*1/63


1/3+62/63

21+62/63

83/63

So the

63rd term is 83/63

HOPE IT HELPS

THANKS

$\bf{deadman \: walking}$

Answer 2

HEY

a7=1/9

a9=1/7



a+6d=1/9........(1)



= a+8d=1/7............. (2)



from equation 1 and 2 we get


a+6d=1/9
a+8d=1/7
_________

-2d= -2/63

2d=2/63

d=2/63/2

d=1/63.

hence

put the value of d in equation 1

a+6d=1/9

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

a+6/63=1/9

a+2/21=1/9

a+2=21/9

9(a+2)=21

9a+18=21

9a=21-18

9a=3

a=3/9

a=1/3


63rd term

= a+62d

1/3+62*1/63


1/3+62/63

21+62/63

83/63