Consider the sequences given in the table below. Find the least number n, such that the nth term of the geometric sequence is greater than the corresponding term in the arithmetic sequence.
|
# of Term
|
1
|
2
|
3
|
4
|
5
|
...
|
n
|
|
Arithmetic
|
85,00
|
95,600
|
105,700
|
115,800
|
125,900
|
...
|
|
|
Geometric
|
2
|
10
|
50
|
250
|
1,250
|
...
|
|
The Geometric sequence is larger than the arithmetic sequence at what term?