Question

Unit 2: Sequences

Create a recursive rule and an explicit rule for
the sequence below. Then find the 15th term.
7, 11, 15, 19, ...
Create a recursive rule and an explicit rule for
the sequence below. Then find the 15th term.
3, 12, 48, 192, ...
Recursive Rule:
Recursive Rule:
Explicit Rule:
Explicit Rule:
15th term
15th term:

Answer 1

steps below

Explanation:

7, 11, 15, 19 ...

common difference (d) = 11-7 = 4

Recursive rule: A(n) = A(n-1) + d = A(n-1) + 4

Explicit rule: A(n) = A(1) + d * (n-1) = A(1) + 4 *(n-1) = 7 + 4 * (n-1) = 4n + 3

15th term: A(15) = 4 * 15 + 3 = 63