Evaluate the series 2 8 32 128 512 2048.

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Jakobe Henry

Mathematics

5 January, 05:06

Evaluate the series 2 8 32 128 512 2048.

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Blaine Craig · Answer 1

It can be seen in the given that the second term, 8, is four times of the first term, 2. The same is true for the third term, 32, which is also four times of the 2nd term. The pattern is true up to the last term given. Thus, this sequence is a geometric sequence with first term equal to 2 and common ratio equal to 4.