a1 = −8
a6 = an +5
What is the common difference?
To find the common difference, we need to find the difference between any two consecutive terms in the sequence.
Given that a1 = -8 and a6 = an + 5, we can find the common difference by subtracting a1 from a6:
a6 - a1 = (an + 5) - (-8)
= an + 5 + 8
= an + 13
So, the common difference is 13.
To find the common difference, we need to look at the pattern between the terms in the sequence. We are given that a1 is -8 and a6 is an + 5.
The common difference (d) is the constant value by which each term in the sequence increases or decreases.
To find the common difference, we can subtract the previous term from the next term in the sequence. Since a1 is the first term and a6 is the sixth term, we can subtract a1 from a6:
a6 - a1 = (an + 5) - (-8)
= an + 5 + 8
= an + 13
Therefore, the common difference (d) is 13.
To find the common difference, we need to find the difference between any two consecutive terms in the sequence.
Given that a1 = -8 and a6 = an + 5, we can find the common difference by subtracting a1 from a6:
a6 - a1 = (an + 5) - (-8)
a6 - a1 = an + 5 + 8
a6 - a1 = an + 13
Since a6 is the 6th term and a1 is the 1st term, we can rewrite the equation as:
6th term - 1st term = an + 13
Since we know that the common difference is the same for all terms, we can simplify the equation as:
5 = an + 13
Now, we can solve for an:
an = 5 - 13
an = -8
Therefore, the common difference is -8