Question

For the given sequence formula: Identify how you know that this is an Arithmetic Sequence. Also, write the first four terms of the sequence. an - 17 + 6(n-1) ​

Answer 1

Given that,

The arithmetic sequence is
`a_n=17+6(n-1)`

To find,

The first four terms of the sequence.

Solution,

`a_n=17+6(n-1)`

Put n = 1

`a_2=17+6(1-1)\\\\=17`

Put n = 2

`a_2=17+6(2-1)\\\\=23`

Put n = 3

`a_3=17+6(3-1)\\\\=29`

Put n = 4

`a_4=17+6(4-1)\\\\=35`

Hence, first four terms are 17, 23,29,35.