Given the explicit formula, find the 7th term.
an = −3 + (n − 1)5
Responses
32
32
27
27
30
30
42
To find the 7th term, we need to substitute n = 7 into the formula.
a7 = -3 + (7 - 1)5
a7 = -3 + (6)5
a7 = -3 + 30
a7 = 27
To find the 7th term of the sequence, we need to find the value of a7 using the given explicit formula: an = -3 + (n - 1)5
Substitute n = 7 into the formula:
a7 = -3 + (7 - 1)5
= -3 + 6 * 5
= -3 + 30
= 27
So the 7th term of the sequence is 27.
To find the 7th term using the explicit formula an = -3 + (n - 1)5, substitute n with 7.
a7 = -3 + (7 - 1)5
Simplify the expression inside the parentheses first:
a7 = -3 + (6)5
Then multiply:
a7 = -3 + 30
Finally, add:
a7 = 27
Therefore, the 7th term is 27.