Recursive Formulas Answers

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1
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The third term in an arithmetic sequence is 3, and the common difference between each term is 4. Write a recursive formula for the sequence.

A
an = 4an – 1 where a3 = 3
B
an = an – 1 + 4 where a3 = 3
C
an = an – 1 + 4 where a1 = 3
D
an = 3 + (n – 1) · 4 where a3 = 3
2
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Identify the recursive formula for the following sequence: 8, 26, 80, 242, . . .

A
an = an – 1 + 18 where a1 = 8
B
an = 3an – 1 + 2 where a1 = 8
C
an = 4an – 1 – 6 where a1 = 242
D
an = 8 + (n–1) · 18 where a1 = 18
3

Identify the recursive formula for the following sequence:

Question illustration
A
an = an – 1 + 1 where a1 = 1
B
Option
C
Option
D
Option
4

The third term in an arithmetic sequence is 3, and the common difference between each term is 4. Write a recursive formula for the sequence.

A
an = 4an – 1 where a3 = 3
B
an = an – 1 + 4 where a3 = 3
C
an = an – 1 + 4 where a1 = 3
D
an = 3 + (n – 1) · 4 where a3 = 3
5

Identify the recursive formula for the following sequence: 8, 26, 80, 242, . . .

A
an = an – 1 + 18 where a1 = 8
B
an = 3an – 1 + 2 where a1 = 8
C
an = 4an – 1 – 6 where a1 = 242
D
an = 8 + (n–1) · 18 where a1 = 18

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