Question

A formula for determining the infinite sum, S, of an arithmetic sequence of numbers is S = n/2 * (a + b), where n is the number of terms, a is the first term, and b is the last term. Express 'b' in terms of 'a,' 'S,' and 'n.'

A) b = 2S/n - a
B) b = 2S/n + a
C) b = n/2S - a
D) b = n/2S + a

Answer 1

To express 'b' in terms of 'a,' 'S,' and 'n' in the formula S = n/2 * (a + b), we can rearrange the formula to isolate 'b.'

Step-by-step explanation:

To express 'b' in terms of 'a,' 'S,' and 'n' in the formula S = n/2 * (a + b), we can rearrange the formula to isolate 'b.'

First, multiply both sides of the equation by 2/n to get rid of the fraction: 2S/n = a + b.

Then, subtract 'a' from both sides to solve for 'b': b = 2S/n - a.