Question

Use the formula to evaluate the series 1+2+4+8 .....+a10

Answer 1

Answer:

$1023$

Step-by-step explanation:

The formula is

$S_n = \frac{a(1 - {r}^{n}) }{1 - r}$

The given series is:

$1 + 2 + 4 + 8 + ... + a_{10}$

where the first term is a=1 and the common ratio is

$r = \frac{2}{1} = 2$

We plug in all these values to get:

$S_{10} = \frac{1(1 - {2}^{10}) }{1 - 2}$

$S_{10} = \frac{1 - 1024}{ - 1} = 1023$