Find the first five terms of the sequence in which a1 = 6 and an = –3an – 1 – 12, if n ≥ 2.

ANSWER

EXPLANATION

The given sequence is defined recursively by:

This means that the subsequent terms of the sequence are generated by multiplying the previous term by -3. This will therefore generate a geometric sequence.

When n=2,

To generate the next term in this geometric sequence, we multiply -18 by -3.

To get the fourth term, multiply 54 by -3.

To get the 5th term we multiply -162 by -3.

Therefore the first five terms are:

4

step-by-step explanation:

6 (donuts) divided by 3 is 2.

so 2/3 means 2 times 2, which is 4/6.

you get two and your friend gets four.