Chapter 10, Problem 1SYU

To determine

Indicate whether the statement is true or false.

Answer to Problem 1SYU

True (Series is a finite geometric series with 6 terms)

Explanation of Solution

Given information:

The sum $1+2+4+8+16+32$ is a finite geometric series with 6 terms.

Calculation:

$A_6=a{r}^{n-1}$

Where n = 6, r = 2 and a = 1

So,

$A_6=1{\left(2\right)}^{6-1}$

$=32$

Since, the 6^th term is 32, it is proved that the given series is a finite geometric series with 6 terms.

Thus,given statement is true (series is a finite geometric series with 6 terms).