Which function gives the correct recursive formula for the sequence?
10, 7, 4, 1, −2, −5
Responses
a1 = 10; an = an −1 − 3
a1 = 10; an = an −1 − 3
a1 = −3; an = an −1 +10
a1 = −3; an = an −1 +10
a1 = 10; an = an −1 + 3
a1 = 10; an = an −1 + 3
a1 = −3; an = a10 + 3
a1 = −3; an = a10 + 3
The correct recursive formula for the sequence is:
a1 = 10; an = an −1 - 3
To determine the correct recursive formula for the given sequence, we need to analyze the pattern in the sequence.
The sequence is: 10, 7, 4, 1, -2, -5
We can notice that each term in the sequence is obtained by subtracting 3 from the previous term. In other words, each term is found by taking the previous term and subtracting 3.
Therefore, the correct recursive formula for the sequence is:
a1 = 10 (the first term)
an = an-1 - 3 (each subsequent term is obtained by subtracting 3 from the previous term)
So, the correct option is:
a1 = 10; an = an-1 - 3