Question

{8, 16, 24, …, 88} has

Answer 1

The sequence {8, 16, 24, …, 88} has a sum of 528

How to determine the sum of the sequence

From the question, we have the following parameters that can be used in our computation:

{8, 16, 24, …, 88}

The above is an arithmetic sequence that has the following properties

First term, a = 8

Common difference, d = 16 - 8 = 8

The number of terms is calculated using

L = a + (n - 1)d

So, we have

8 + (n - 1) * 8 = 88

(n - 1) * 8 = 80

Divide

n - 1 = 10

n = 11

The sum of the sequence is then calculated as

`\text{Sum} = (n)/(2)(a + L)`

So, we have

`\text{Sum} = (11)/(2)(8 + 88)`

Evaluate

`\text{Sum} = 528`

Hence, the sum is 528

Question

{8, 16, 24, …, 88} has a sum of _____