audjwood67
23.07.2019 •
Mathematics
What is the sum of the geometric sequence 2, 8, 32, … if there are 8 terms? 21,845 43,690 65,535 87,380
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Ответ:
The answer is B. 43,690
Step-by-step explanation:
S = 2 * 4^0 + 2 * 4^1 + 2 * 4^2 + ... + 2 * 4^7
S * 4 = 2 * 4^1 + 2 * 4^2 + ... + 2 * 4^7 + 2 * 4^8
4S - S = 2 * 4^8 - 2 * 4^0
3S = 2 * (4^8 - 1)
S = (2/3) * (4^8 - 1)
S = (2/3) * (2^16 - 1)
S = (2/3) * (65535)
S = 43690
Ответ:
the answer is 2
Step-by-step explanation:
because the name