Question

The second term of geometry sequence is 675 and the fifth term is 25. find the common ratio.

Answer 1

Nth term of a geometric sequence=a
`r^(n-1)`
second term:
675=ar
Fifth term;
25=a
`r^(4)`

Dividing fifth term by second term;
25=
`r^(3)`
Common ratio r is thus
`\sqrt[3]{25}`