Given the Recursive Formula:
a1 = 10
a7 = a6 + 4
What is the common difference? Response area
What is the initial term? Response area
What term is this formula solving for?
The common difference cannot be determined from the given information.
The initial term is a1 = 10.
This formula is solving for the 7th term.
To find the common difference and initial term, we need to analyze the given recursive formula.
A recursive formula defines a sequence by providing the starting term(s) and a rule for generating subsequent terms. In this case, we have the following information:
a1 = 10 (the first term)
a7 = a6 + 4 (the seventh term is defined in terms of the sixth term)
To find the common difference, we observe that the formula relates consecutive terms. In this case, the seventh term (a7) is defined as the sixth term (a6) plus 4. This suggests that the common difference between consecutive terms is 4.
Therefore, the common difference is 4.
To find the initial term, we need to determine the value of the first term (a1), which is given as 10.
Therefore, the initial term is 10.
This formula is solving for the seventh term (a7) in the sequence.