Question

Determine sum of convergent series 14(1/2)ⁿ-1

A) Solutions to linear equations
B) Limits of functions
C) Convergence or divergence of series
D) Factoring polynomials

Answer 1

The sum of the given convergent series is 28.

Step-by-step explanation:

The given series is:

S = 14(1/2)n-1

This is a geometric series with a common ratio of 1/2. To find the sum of a geometric series, you can use the formula:

S = a / (1 - r)

where 'a' is the first term and 'r' is the common ratio.

In this case, 'a' is 14 and 'r' is 1/2.

So the sum of the series is:

S = 14 / (1 - 1/2) = 14 / (1/2) = 14 * 2 = 28.