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Series GP
Basic Accuracy: 31.56% Submissions: 24191 Points: 1

Given the A and R i,e first term and common ratio of a GP series. Find the Nth term of the series.

Note: As the answer can be rather large print its modulo 1000000007 (109 + 7).

Example 1:

Input: A = 2, R = 2, N = 4
Output: 16
Explanation: The GP series is
2, 4, 8, 16, 32,... in which 16
is th 4th term.


Example 2:

Input: A = 4, R = 3, N = 3
Output: 36
Explanation: The GP series is
4, 12, 36, 108,.. in which 36 is
the 3rd term.


You don't need to read or print anything. Your task is to complete the function Nth_term() which takes A, R and N as input parameter ans returns Nth term of the GP series modulo 109 + 7.

Expected Time Complexity: O(log2(N))
Expected Space Complexity: O(1)

Constraints:
1 <= A, R, N <= 1000000