Question

Consider the sequence of numbers: 2;5;2;9;2; 13;2;17 Calculate the sum of the first 100 terms of the sequence​

Answer 1

A sequence of number can be arithmetic, geometric or neither

The sum of the first 100 terms is 29800

How to determine the sum of first 100 terms

The sequence is given as:

5, 9, 13, 17....

The above sequence is an arithmetic sequence, and it has the following parameters:

First term (a) = 5

Common difference (d) = 4

The sum of the first 100 terms is then calculated as:

$S_n = \frac{n}{2} * (2a + (n -1)*d)$

Where n = 100

So, the equation becomes

$S_{100} = \frac{100}{2} * (2*100 + (100 -1)*4)$

$S_{100} = 29800$

Hence, the sum of the first 100 terms is 29800

Read more about sequence and series at:

brainly.com/question/7882626