SOLUTION: Find the geometric series of the first 10 terms if the geometric sequence is 2, 4, 8, 16,...

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Question 1199550: Find the geometric series of the first 10 terms if the geometric sequence is 2, 4, 8, 16,...
Answer by greenestamps(13200) About Me  (Show Source):
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2 + 4 + 8 + 16 + ... (10 terms)

= 2(1 + 2 + 4 + ...) (10 terms)

= 2(2^0 + 2^1 + 2^2 + ... + 2^9)

= 2(2^10-1) = 2(1023) = 2046

ANSWER: 2046