Write the first five terms of the arithmetic sequence defined recursively. $a _ { 1 } = 12 , a _ { k + 1 } = a _ { k } + 6$
A) $a _ { 1 } = 18 , a _ { 2 } = 30 , a _ { 3 } = 42 , a _ { 4 } = 54 , a _ { 5 } = 66$
B) $a _ { 1 } = 12 , a _ { 2 } = 24 , a _ { 3 } = 36 , a _ { 4 } = 48 , a _ { 5 } = 60$
C) $a _ { 1 } = 12 , a _ { 2 } = 24 , a _ { 3 } = 18 , a _ { 4 } = 36 , a _ { 5 } = 30$
D) $a _ { 1 } = 18 , a _ { 2 } = 24 , a _ { 3 } = 30 , a _ { 4 } = 36 , a _ { 5 } = 42$
E) $a _ { 1 } = 12 , a _ { 2 } = 18 , a _ { 3 } = 24 , a _ { 4 } = 30 , a _ { 5 } = 36$

Question

Quizplus · Accepted Answer

Using the given recursive formula, we can generate the terms of the sequence: 
$$a_1=12$$
$$a_2=a_1+6=18$$
$$a_3=a_2+6=24$$
$$a_4=a_3+6=30$$
$$a_5=a_4+6=36$$
Therefore, the correct answer is choice E.

Write the First Five Terms of the Arithmetic Sequence Defined a1=12,ak+1=ak+6a _ { 1 } = 12 , a _ { k + 1 } = a _ { k } + 6a1​=12,ak+1​=ak​+6

Write the First Five Terms of the Arithmetic Sequence Defined $a _ { 1 } = 12 , a _ { k + 1 } = a _ { k } + 6$