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? Response area
The common difference is +4.
The initial term is a1 = 10.
This formula is solving for the seventh term, a7.
To find the common difference in a recursive formula, we need to subtract the previous term from the current term. In this case, the given formula is a7 = a6 + 4.
To determine the common difference, we subtract a6 from a7: a7 - a6 = (a6 + 4) - a6 = 4.
So, the common difference in this recursive formula is 4.
The initial term, also known as the first term, is denoted by a1. In the given formula, a1 is given as 10.
Therefore, the initial term in this recursive formula is 10.
The given formula is solving for the term denoted by a7.
To find the common difference and initial term in a recursive formula, we need to see the pattern of the sequence. Let's examine the given recursive formula:
a1 = 10
a7 = a6 + 4
1. Common Difference: The common difference in a sequence refers to the difference between consecutive terms. To determine the common difference, we can calculate the difference between a7 and a6:
a7 - a6 = (a6 + 4) - a6
Simplifying the expression, we get:
a7 - a6 = 4
Therefore, the common difference is 4.
2. Initial Term: The initial term is the first term in the sequence. In this case, the given value for a1 is 10.
Therefore, the initial term is 10.
3. The Formula Solves for: The given recursive formula does not specifically mention which term it is solving for. However, based on the given information, we can determine that a7 is the seventh term in the sequence.