which function gives the correct recursive formula for the sequence
a1=-3; an= a10 +3
a1 = 10; an - an-1 +3
a1 = 10; an= an-1 - 3
The function that gives the correct recursive formula for the sequence is:
a1 = 10; an = an-1 - 3
To find the recursive formula for each sequence, we need to determine how each term relates to the previous term(s).
1. Sequence: a1 = -3, an = a10 + 3
In this sequence, each term is obtained by adding 3 to a specific term (a10).
Recursive Formula: an = an-1 + 3
Explanation: To find any term (an) in this sequence, you take the previous term (an-1) and add 3 to it.
2. Sequence: a1 = 10, an - an-1 + 3
In this sequence, each term is obtained by subtracting 3 from the previous term (an-1).
Recursive Formula: an = an-1 - 3
Explanation: To find any term (an) in this sequence, you take the previous term (an-1) and subtract 3 from it.
Therefore, the correct recursive formula for the given sequences are:
1. an = an-1 + 3
2. an = an-1 - 3
The correct recursive formula for the sequence is:
a1 = -3
an = a(n-1) + 3