suppose an is an arithmetic progression .with common difference 2 and Gn is geometric progression.with common ratio 3 .let Cn be a sequence given by Cn=An+Gn .if C1=8 and C3=52 then find A1and G1

1 answer

Let An = x + (n-1)*2
Gn = y*3^(n-1)
Then
x+y = 8
x+2 + 3y = 52
Now just solve for x and y