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:

steps below

Step-by-step 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

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.