ANSWER QUICKLY
What is the recursive rule for the following sequence: -5, -3, -1, 1…?
A) an = an-1 - 5
B) an = an-1 - 2
C) an = an-1 + 2
D) an = an-1 + 5
I noticed that each term is 2 less than its previous term.
To identify the recursive rule for the given sequence, let's analyze the pattern:
-5, -3, -1, 1...
Looking at the sequence, we can observe that each term is obtained by adding 2 to the previous term. Therefore, the recursive rule for this sequence is:
an = an-1 + 2
Based on the provided options:
A) an = an-1 - 5 (Incorrect, since the actual pattern is addition, not subtraction)
B) an = an-1 - 2 (Incorrect, since the actual pattern is addition, not subtraction)
C) an = an-1 + 2 (Correct, matches the pattern of adding 2 to the previous term)
D) an = an-1 + 5 (Incorrect, since the actual pattern is adding 2, not 5)
Therefore, the correct answer is C) an = an-1 + 2.