Question
Consider the sequence 1,2,3,4,5,....
What is the recursive formula that represents the sequence for the term numbers 1,2,3,4, and 5?
(1 point)
Responses
an=1; an=an−1+an+1
an=1; an=an−1+an+1
an=1; an=an−1+an−1
an=1; an=an−1+an−1
an=1; an=an−1+2
an=1; an=an−1+2
an=1; an=an−1+1
What is the recursive formula that represents the sequence for the term numbers 1,2,3,4, and 5?
(1 point)
Responses
an=1; an=an−1+an+1
an=1; an=an−1+an+1
an=1; an=an−1+an−1
an=1; an=an−1+an−1
an=1; an=an−1+2
an=1; an=an−1+2
an=1; an=an−1+1
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To represent the sequence 1, 2, 3, 4, 5, ... recursively, we need to specify the first term and a relationship for subsequent terms.
1. The first term \( a_1 \) is 1.
2. Each subsequent term can be defined as \( a_n = a_{n-1} + 1 \).
Thus, the correct recursive formula is:
- \( a_1 = 1 \)
- \( a_n = a_{n-1} + 1 \) for \( n > 1 \)
From the options provided, the correct response is:
**an=1; an=an−1+1.**
1. The first term \( a_1 \) is 1.
2. Each subsequent term can be defined as \( a_n = a_{n-1} + 1 \).
Thus, the correct recursive formula is:
- \( a_1 = 1 \)
- \( a_n = a_{n-1} + 1 \) for \( n > 1 \)
From the options provided, the correct response is:
**an=1; an=an−1+1.**
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