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) ​

Respuesta :

Given that,

The arithmetic sequence is [tex]a_n=17+6(n-1)[/tex]

To find,

The first four terms of the sequence.

Solution,

[tex]a_n=17+6(n-1)[/tex]

Put n = 1

[tex]a_2=17+6(1-1)\\\\=17[/tex]

Put n = 2

[tex]a_2=17+6(2-1)\\\\=23[/tex]

Put n = 3

[tex]a_3=17+6(3-1)\\\\=29[/tex]

Put n = 4

[tex]a_4=17+6(4-1)\\\\=35[/tex]

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