Recursive sequences Quiz
Name: ______________________ Date: __________ Score: ____ / 10
10 questions. Calculator allowed. Show your working. steplyclass.com/algebra-2/recursive-sequences/quiz/
1
a_1 = 3, a_n = a_(n-1) + 4, find the first 5 termsAnswer: ____________________
2
a_1 = 2, a_n = 3a_(n-1), find the first 5 termsAnswer: ____________________
3
a_1 = 1, a_n = 2a_(n-1) + 1, find the first 5 termsAnswer: ____________________
4
a_1 = 4, a_n = 2a_(n-1), find a_5Answer: ____________________
5
a_1 = 64, a_n = a_(n-1) − 9, find the first 4 termsAnswer: ____________________
6
a_1 = 3, a_n = 2a_(n-1) + 1, find the first 5 termsAnswer: ____________________
7
a_1 = −1, a_n = 2a_(n-1) + 5, find the first 5 termsAnswer: ____________________
8
a_1 = 4, a_n = −2a_(n-1), find a_6Answer: ____________________
9
a_1 = 5, a_n = a_(n-1) + 4, write the explicit rule. Find a_n.Answer: ____________________
10
a_1 = 3, a_n = 2a_(n-1), write the explicit rule. Find a_n.Answer: ____________________
Answer key
- 3, 7, 11, 15, 19
- 2, 6, 18, 54, 162
- 1, 3, 7, 15, 31
- 64
- 64, 55, 46, 37
- 3, 7, 15, 31, 63
- −1, 3, 11, 27, 59
- −128
- a_n = 4n + 1
- a_n = 3 × 2n − 1
Every answer solved step by step: steplyclass.com/algebra-2/recursive-sequences/quiz/answers/