Question

The sum of first five terms of an A.P. is 55. The ratio of its 8th term to 10th term is 13:16. Calculate 6th term.

Answer 1

Step-by-step explanation:

is it correct? kindly reply for it.

Answer 2

Answer:

let the first term is a and common difference is b

then,(a+7b)/(a+9b)=13/16

16a+112b=13a+117b

3a-5b=0, 3a=5b

again,5/2{2a+4b}=55

5(a+2b)=55

a+2b=11

3a+6b=33

5b+6b=33

11b,=33

b=33/11=3

a=11-2b=11-6=5

6th term is 5+5.3=5+15=20