Question

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

Answer 1

Answer: When you evaluate the series the total is 1023.

Answer 2

Since this is a geometric series, let's use the sum to n terms of a geometric series given by:


`S_n = (a(r^(n) - 1))/(r - 1)`, where a is the first term, r is the common ratio, and n is the number of terms.

We know that a = 1
Common ratio (r): 2
Num. of terms: 10

Plugging it all into the equation, we produce:

`S_(10) = (1(2^(10) - 1))/(2 - 1)`

`= 2^(10) - 1`

`1,023`

Thus, the summation is 1,023