Question

write the first four terms of the sequence defined by the given rule f (1) = 3, f(n) = [ f(n - 1)] ^2

Answer 1

`\\ \sf\longmapsto f(n)=[f(n-1)]^2`

• f(1)=3

`\\ \sf\longmapsto f(2)=(f(1))^2=3^2=9`

`\\ \sf\longmapsto f(3)=(f(2))^2=(9)^2=81`

`\\ \sf\longmapsto f(4)=(f(3))^2=(81)^2=6561`

Answer 2

3, 9, 81, 6561

Explanation:

previous term × itself