Given the Recursive Formula:
a1 = −8
a6 = an +5
What is the common difference?
What is the initial term? Response area
What term is this formula solving for? Response area
What should be in place of the n? Response area
-8
6
5
4
The common difference is 5.
The initial term is -8.
This formula is solving for the 6th term (a6).
In place of the n, there should be the specific term that you want to find in the sequence.
To find the common difference, we need to determine the difference between consecutive terms. In this case, we are given the values of a1 and a6.
The formula a6 = an + 5 indicates that the sixth term (a6) is obtained by adding 5 to the value of the previous term (an). Since a6 is equal to a1 + 5, we can rewrite it as:
-8 + 5 = a1
By solving this equation, we find that a1 = -3.
Therefore, the common difference between consecutive terms in this sequence is:
-3 - (-8) = -3 + 8 = 5.
So, the common difference is 5.
The initial term, also known as the first term (a1), is given as -8 in the recursive formula.
The formula is solving for the nth term of the sequence. In this case, the term we are trying to find is not specified, so it can be any term.