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Refer to the sequence below.

a. Describe the pattern
b. Write the next term
c. Write a recursive rule for the sequence

8, 13, 18, 23, 28, ...

1 Answer

6 votes

Explanation:

a. The pattern of the sequence is an arithmetic sequence, where each term is obtained by adding 5 to the previous term.

b. The next term in the sequence can be obtained by adding 5 to the last term, which is:

28 + 5 = 33

Therefore, the next term in the sequence is 33.

c. A recursive rule for the sequence can be written as:

a_1 = 8 a_n = a_{n-1} + 5

Where a_1 represents the first term of the sequence, and a_n represents the nth term of the sequence. This recursive rule states that each term in the sequence is obtained by adding 5 to the previous term.

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