Question

Identify the rule as recursive or explicit, then find the first 4 terms of the sequence

A) Recursive; 100, 8, 8, 8
B) Explicit; 100, 108, 116, 124
C) Recursive; 100, 108, 116, 124
D) Explicit; 100, 8, 8, 8

Answer 1

The rule for the sequence should be identified as either recursive or explicit, and the first 4 terms of a given sequence should be found.

Step-by-step explanation:

The rule of a sequence can be either recursive or explicit. A recursive rule defines each term in the sequence based on one or more previous terms, while an explicit rule directly calculates each term without referencing previous terms.

Looking at the given sequences, we can determine the rule for each:

• Sequence A: Recursive; The first term is 100, and each subsequent term is 8.
• Sequence B: Explicit; Each term is obtained by adding 8 to the previous term.
• Sequence C: Recursive; The first term is 100, and each subsequent term is obtained by adding 8 to the previous term.
• Sequence D: Explicit: Each term in the sequence is 8.

Therefore, the correct answer is C) Recursive; 100, 108, 116, 124.