Question

Find the first four terms of the sequence given by the following

Answer 1

`54,62,70,78`

1) In this question, we need to resort to that Explicit formula, with the first term so that we can find the terms:

`\begin{gathered} a_n=54+8(n-1) \\ a_1=54+8(1-1) \\ a_1=54 \\ \\ a_2=54+8(2-1) \\ a_2=54+8 \\ a_2=62 \\ \\ a_3=54+8(3-1) \\ a_3=54+8(2) \\ a_3=54+16 \\ a_3=70 \\ \\ a_4=54+8(4-1) \\ a_4=54+8(3) \\ a_4=78 \\ \end{gathered}`

2) As we can see, this is an Arithmetic sequence. And the answer is:

`54,62,70,78`