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Evaluate sum2^(i), where i=2, 3, 4, … , ...

Evaluate `sum2^(i)`, where `i=2, 3, 4, … , 10`.

A

2044

B

2048

C

1024

D

1022

Text Solution

Verified by Experts

The correct Answer is:
A
`sum 2^(i), i =2, 3, ...10`
`= (2^(2) + 2^(3)+... + 2^(10))`
`= 2^(2) xx ((2^(9)-1))/(2-1)`
`= (2^(11) -2^(2))/(1)`
`= 2044`.
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