The first term of an arithmetic sequence is -3 and the fifteenth term is 53.
What is the common difference of the sequence?
14/13
25/7
4
Use your definitions of the term of an arithmetic sequence
a = -3
term(15) = a + 14d
53 = -3 + 14d
solve for d
is this following sequence arithmetic is so identify the common difference
-73,-44,-15,14
To find the common difference of an arithmetic sequence, we need to use the formula:
nth term = first term + (n - 1) * common difference
Given that the first term is -3 and the fifteenth term is 53, we can substitute these values into the formula:
53 = -3 + (15 - 1) * common difference
Simplifying the equation:
53 = -3 + 14 * common difference
53 = -3 + 14d
56 = 14d
d = 56/14
d = 4
Therefore, the common difference of the arithmetic sequence is 4.