3. By using mathematical induction proves 2' + 22 + 2 +.. +2" = 2"*! – 2 is true for all positive 3 2n integers n. Hence find 2" r=n

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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3. By using mathematical induction proves
2' +22 + 2° +... + 2" = 2"
n+1
- 2 is true for all positive
2n
integers n. Hence find 2"
r=n
Transcribed Image Text:3. By using mathematical induction proves 2' +22 + 2° +... + 2" = 2" n+1 - 2 is true for all positive 2n integers n. Hence find 2" r=n
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