Which function gives the correct recursive formula for the sequence?
10, 7, 4, 1, −2, −5
Responses
a1 = −3; an = a10 + 3
a1 = −3; an = a10 + 3
a1 = 10; an = an −1 + 3
a1 = 10; an = an −1 + 3
a1 = 10; an = an −1 − 3
a1 = 10; an = an −1 − 3
a1 = −3; an = an −1 +10
None of the given options give the correct recursive formula for the sequence 10, 7, 4, 1, -2, -5.
The function that gives the correct recursive formula for the sequence 10, 7, 4, 1, -2, -5 is:
a1 = 10; an = an - 3
To determine the correct recursive formula for the given sequence 10, 7, 4, 1, -2, -5, we need to identify the pattern or relationship between the terms.
By observing the sequence, we can see that each term is obtained by subtracting 3 from the previous term.
Therefore, the correct recursive formula for this sequence would be:
a1 = 10 (the first term)
an = an-1 - 3 (each subsequent term is the previous term minus 3)
So, the correct answer is:
a1 = 10; an = an-1 - 3