A sequence can be generated by using [tex]a_n = a_{n-1} + 10[/tex], where [tex]a_1 = 2[/tex] and [tex]n[/tex] is a whole number greater than 1.

What are the first 5 terms in the sequence?

A. 2, 20, 200, 2000, 20000
B. [tex]2, 12, 22, 32, 42[/tex]
C. [tex]10, 20, 30, 40, 50[/tex]
D. [tex]10, 12, 14, 16, 18[/tex]

To find the first five terms of the sequence defined by the rule [tex]$a_n = a_{n-1} + 10$[/tex], starting with [tex]$a_1 = 2$[/tex], let's calculate each term one by one:

1. First term [tex]$(a_1)$[/tex]: The first term is given as [tex]$2$[/tex].

2. Second term [tex]$(a_2)$[/tex]: To find the second term, add [tex]$10$[/tex] to the first term:
[tex]\[
a_2 = a_1 + 10 = 2 + 10 = 12
\][/tex]

3. Third term [tex]$(a_3)$[/tex]: To find the third term, add [tex]$10$[/tex] to the second term:
[tex]\[
a_3 = a_2 + 10 = 12 + 10 = 22
\][/tex]

4. Fourth term [tex]$(a_4)$[/tex]: To find the fourth term, add [tex]$10$[/tex] to the third term:
[tex]\[
a_4 = a_3 + 10 = 22 + 10 = 32
\][/tex]

5. Fifth term [tex]$(a_5)$[/tex]: To find the fifth term, add [tex]$10$[/tex] to the fourth term:
[tex]\[
a_5 = a_4 + 10 = 32 + 10 = 42
\][/tex]

Thus, the first five terms in the sequence are [tex]$2, 12, 22, 32, 42$[/tex].