Question

Find the first 5 terms of the sequence with the given recursive formula:

a (1) = 6
a (n) = a (n - 1) x 3
a) 6, 18, 54, 162, 486
b) 6, 12, 18, 24, 30
c) 6, 15, 24, 33, 42
d) 6, 9, 12, 15, 18

Answer 1

To find the first 5 terms of the sequence with the given recursive formula, we can use the recursive formula to generate each term.

Step-by-step explanation:

The given recursive formula is:

a1 = 6

an = an-1 x 3

To find the first 5 terms of the sequence, we can use the recursive formula to generate each term:

1. a1 = 6
2. a2 = a1 x 3 = 6 x 3 = 18
3. a3 = a2 x 3 = 18 x 3 = 54
4. a4 = a3 x 3 = 54 x 3 = 162
5. a5 = a4 x 3 = 162 x 3 = 486

Therefore, the first 5 terms of the sequence are: 6, 18, 54, 162, 486.