Question

If 7th and 13th terms of an A.P be 34 and 64 respectively , then its 17th term is​

Answer 1

Answer:

a+12d=64 (1)

a+7d=34 (2)

subtract 1-2

5d=30

d=6

put the value of d in any equation

a+12(6)=64

a+60=64

a=4

a+16d=

4+16(6)

4+96

100

HOPE IT HELPS YOU

Answer 2

Step-by-step explanation:

in an A.P.,

7th term = a+6d= 34......(1)

13th term=a+12d=64.......(2)

Subtract eq 1 from eq 2,

a+12d-a-6d=64-34

6d = 30

d=5

substituting d =5 in eq 1

a+30=34

a=4

17th term =a+16d

=4+16×5

=4+80=84