Question

the first, second and fifth term of a linear sequence (A. P) is /are three consecutive terms of an exponential sequence (G. P), if the first term of the linear sequence is 7. Find the common difference.​

Answer 1

Answer: common difference is 14

Explanation:

a,a+d,a+4d

7,7+d,7+4d

(7+d)/7=(7+4d)/(7+d)

(7+d)(7+d)=7(7+4d)

49+14d+d^2=49+28d

d^2-14d=0

d(d-14)=0

d=0 or d-14=0

d=14