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Recursive Formulas Worksheet

Explore recursive formulas for sequences, identifying patterns and calculating terms.

Grade 7 Math Sequences and SeriesRecursive Formula
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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.SSE.A.1

Topics

recursive formulasequencesmathgrade 7
7 sections · Free to use · Printable
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Recursive Formulas Worksheet

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Read each question carefully and follow the instructions to determine the terms of the sequences or identify the recursive formula.

1. A recursive formula defines each term of a sequence using one or more of the   terms.

2. For a recursive formula, you always need to know the first   of the sequence.

3. In the formula a_n = a_(n-1) + 5, a_(n-1) represents the   term.

4. Given the recursive formula a_n = a_(n-1) + 3 and a_1 = 2, find the first 5 terms of the sequence.

5. Given the recursive formula a_n = 2 * a_(n-1) and a_1 = 1, find the first 4 terms of the sequence.

6. Which of the following is a recursive formula for the sequence: 5, 10, 15, 20, ...?

a

a_n = a_(n-1) + 5

b

a_n = 5n

c

a_n = a_(n-1) - 5

d

a_n = a_(n-1) * 5

7. The sequence 1, 3, 7, 15, ... can be represented by the recursive formula a_n = 2 * a_(n-1) + 1, with a_1 = 1.

T

True

F

False

8. Write a recursive formula for the sequence: 100, 50, 25, 12.5, ... and find the 5th term.