Which of the following is the result of expanding this series? the sum from n is equal to 1 to 5 of 2 raised to the n minus 2 power
Answer
A
8 point 5
B
32
C
15 point 5
D
60
Explanation
Substitute n = 1, 2, 3, 4, and 5 into 2^(n − 2). The terms are 2^−1, 2^0, 2^1, 2^2, and 2^3, which equal 0.5, 1, 2, 4, and 8. Their sum is 15.5, so the answer is 15.5.
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