Question

In an ap it is given that T8 = 31 and t13= 45 find the AP

Answer 1

I think small error in your question.
Instead of t13 , t15 may be given. We couldnt get finite answer when t13 is given. So i do it as t15.👍


T8=8th term=31

T15= 15th term=45

T8 = a+7d =31 ------(1)

T15=a+14d =45 -----(2)

then (2) - (1)

14d-7d = 45-31
7d = 14
d= 2

put value of d in eqn (1)

a+(7 x 2)= 31
a= 31 - 14 = 17
a=17

A.P = a, a+d, a+2d, .......
. = 17, 19, 21, 23, 25 ....

A.P = 17, 19, 21, 23, 25......