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?
This formula is solving for the term a7.
The common difference in a recursive formula refers to the constant difference between consecutive terms in a sequence. In this case, the given recursive formula is:
a1 = 10
a7 = a6 + 4
To find the common difference, we need to observe the pattern between consecutive terms. In this formula, we can see that each term is obtained by adding 4 to the previous term.
Since the common difference is consistent and equal to 4, the answer is:
Common difference = 4
The initial term, also known as the first term (a1), is the starting value of the sequence. In this case, it is explicitly given that:
a1 = 10
Therefore, the initial term is:
Initial term = 10
The given formula is not solving for a specific term. It is a recursive formula that defines a pattern for generating terms in a sequence.
To find the common difference in a sequence, you need to find the difference between any two consecutive terms. In this case, we are given the recursive formula:
a1 = 10
a7 = a6 + 4
To find the common difference, you can subtract a6 from a7:
a7 - a6 = (a6 + 4) - a6 = 4
Therefore, the common difference in this recursive formula is 4.
Now, let's find the initial term. The initial term, also known as the first term, is denoted as a1 in this recursive formula. In this case, a1 is given as 10, so the initial term is 10.
Finally, based on the given recursive formula, which states "a7 = a6 + 4," the formula is solving for the 7th term in the sequence.