Question

Find the sum of the first 8 terms of the following series, to the nearest integer. 4, 6, 9, ...

a) 31
b) 34
c) 36
d) 40

Answer 1

To find the sum of the first 8 terms of the series 4, 6, 9, ..., we can use the formula for the sum of an arithmetic series.

Step-by-step explanation:

To find the sum of the first 8 terms of the series 4, 6, 9, ..., we need to determine the pattern and then add up the terms.

The pattern is that each term is the previous term plus 2. So, the series can be represented as 4, 4 + 2, (4 + 2) + 2, ...

To calculate the sum, we can use the formula for the sum of an arithmetic series:

Sum = (n/2)(first term + last term), where n is the number of terms.

Plugging in the values, we have Sum = (8/2)(4 + 4 + 2(8 - 1)) = (4)(4 + 32) = 4(36) = 144.

Rounding to the nearest integer, the sum of the first 8 terms is 144.