Question

F. 17
9. Sum the following series.
(1) 1024 + 512+256 + ........... to 15 terms
(W) 1 - 4 + 4 -ġ +....
+ ........ to n terms
(ii) 1 ] +2 +3 ...........to n terms.​

Answer 1

Answer:

1). 1024+512+256+.....15 terms

It is in GP with common ratio = 1/2

Sum of series is

$\frac{1024 \times (1 - ( \frac{1}{2} ) {}^{15} )}{1 - \frac{1}{2} } = {2}^{11} ( \frac{ {2}^{15} - 1}{ {2}^{15} } ) = {2}^{11} - {2}^{ - 4}$