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31 votes
31 votes
What is the n term of 1+2+4+8+16+32+..............

User Mehrdad Faraji
by
2.7k points

1 Answer

10 votes
10 votes

Answer:


2^(n-1)

Explanation:


\text{It is a geometric series.}\\\\\text{First term,}~ a = 1\\\\\text{Common ratio,}~ r = \frac 21 = 2\\\\\text{Nth term,}~ a_n = a r^(n-1)\\\\~~~~~~~~~~~~~~~~~~~=1\cdot 2^(n-1)\\\\~~~~~~~~~~~~~~~~~~~=2^(n-1)

User Joren
by
3.1k points
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