To find the common difference, we subtract consecutive terms in the sequence.
a6 = an + 5
We are given a6 = a1 + 5, so we can substitute this in:
a1 + 5 = a1 + 5
Notice that a1 cancels out on both sides.
5 = 5
Since this equation is true, we know that a1 = a6 + 5 holds for any value of a1.
Therefore, the common difference is 5.
Answer: C. 5
Given the Recursive Formula:
a1 = −8
a6 = an +5
What is the common difference?
A. -8
B. 6
C. 5
D. 4
11 answers
What is the initial term?
The initial term, also known as the first term, is denoted as a1 in the recursive formula.
In this case, we are given that a1 = -8.
Therefore, the initial term is -8.
In this case, we are given that a1 = -8.
Therefore, the initial term is -8.
What term is this formula solving for?
The given recursive formula does not explicitly define the term it is solving for; it only provides a relationship between terms in the sequence.
From the given information, we can deduce a6 = an + 5, which means the formula is solving for the term a6.
From the given information, we can deduce a6 = an + 5, which means the formula is solving for the term a6.
What should be in place of the n?
In the given recursive formula, the variable n represents the position or index of the term in the sequence.
Since we are given that the term a6 is being defined by the formula an + 5, we can conclude that the value of n in this case is 6.
Therefore, in place of the n, we should substitute 6 in the formula.
Since we are given that the term a6 is being defined by the formula an + 5, we can conclude that the value of n in this case is 6.
Therefore, in place of the n, we should substitute 6 in the formula.
What term is this formula solving for?
A. -8
B. 6
C. 5
D. 4
A. -8
B. 6
C. 5
D. 4
Apologies for the confusion in my previous response.
To determine which term the given formula is solving for, we need to examine the formula itself, which is:
a6 = an + 5
In this formula, the term being solved for is a6.
Therefore, the correct answer is:
A. -8
To determine which term the given formula is solving for, we need to examine the formula itself, which is:
a6 = an + 5
In this formula, the term being solved for is a6.
Therefore, the correct answer is:
A. -8
What should be in place of the n?
A. -8
B. 6
C. 5
D. 4
A. -8
B. 6
C. 5
D. 4
To determine what should be in place of the n in the given recursive formula, we need to identify the term that we want to find or evaluate.
In this case, the formula is:
a6 = an + 5
The term that the formula is solving for is a6.
Thus, in place of n, we should substitute 6.
Therefore, the answer is:
B. 6
In this case, the formula is:
a6 = an + 5
The term that the formula is solving for is a6.
Thus, in place of n, we should substitute 6.
Therefore, the answer is:
B. 6
1 answer