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Question
If 2m – 1 + 2m + 1 = 640, then find m
Sum
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Solution
Given 2m – 1 + 2m + 1 = 640
2m – 1 + 2m + 1 = 128 + 512
2m – 1 + 2m + 1 = 27 + 29
m – 1 = 7
m = 7 + 1
m = 8 ...[consecutive powers of 2]
Powers of 2:
2, 4, 8, 16, 32, 64, 128, 256, 512, ….
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