Question

Write the nth term of the geometric sequence as a function of n.

Answer 1

the common ratio is 5, the starting term is 2 :)

Answer 2

You are dealing with:

2(1), 2(5), 2(25), 2(125), . . .

2(5^0), 2(5^1), 2(5^2), 2(5^3), . . .

Are you able to find an expression for the exponent for the nth term? Hint: that exponent is one less than the term position.

Answer 3

So, look for the pattern of :

sequence position value of exponent
---------------- ---------------
1 0
2 1
3 2
4 3

etc etc