a1 = 10
a7 = a6+ 4
what is the common differance
Based on the given information, we cannot determine the common difference. More information is needed.
To find the common difference in an arithmetic sequence, we need to determine the difference between consecutive terms.
Given:
a1 = 10
a7 = a6 + 4
To find the common difference, we can subtract a1 from a7:
a7 - a1 = a6 + 4 - 10
Simplifying the equation:
a7 - a1 = a6 - 6
Since a7 and a1 are seven consecutive terms apart, and a6 and a1 are six consecutive terms apart, the equation becomes:
a6 - a1 = 6
Therefore, the common difference is 6.
To find the common difference in a sequence, we need to look for a pattern in the given terms. In this case, we have two terms, a1 = 10 and a7 = a6 + 4.
Let's start by analyzing the given information:
- a1 = 10: This is the first term of the sequence.
- a7 = a6 + 4: This tells us that the seventh term is equal to the sixth term plus 4.
Now, we can deduce the common difference by examining the relationship between the terms. Since a7 is equal to a6 + 4, this means that the difference between these two consecutive terms is 4. Therefore, the common difference in this sequence is 4.