Question

The first three terms of an arithmetic sequence are as follows.19, 28, 37Find the next two terms of this sequence.19, 28, 37,

Answer 1

46, 55

Explanation:

Given the arithmetic sequence:

`19,28,37`

We want to find the next two terms.

An arithmetic sequence is a sequence in which the next term is obtained by the addition or subtraction of a constant called the common difference.

First, we determine the common difference:

`Common\;Difference=28-19=37-28=9`

Thus, the next two terms are obtained below:

`\begin{gathered} 4th\;term:37+9=46 \\ 5th\;term:46+9=55 \end{gathered}`

The next two terms of the sequence are 46 and 55.