Given the explicit formula, find the 5th term.
an = −3 + (n − 1)5
Responses
15
15
5
5
22
22
17
To find the 5th term of the sequence, we substitute n = 5 into the given formula:
a5 = -3 + (5 - 1)5
= -3 + 4 * 5
= -3 + 20
= 17
Therefore, the 5th term of the sequence is 17.
To find the 5th term of the sequence given by the explicit formula an = -3 + (n - 1)5, you need to substitute the value of n with 5 in the formula and simplify.
So, let's plug in n = 5 into the formula:
a5 = -3 + (5 - 1)5
Now, simplify the expression inside the parentheses:
a5 = -3 + (4)5
Multiply 4 by 5:
a5 = -3 + 20
Finally, add -3 and 20:
a5 = 17
Therefore, the 5th term of the sequence is 17.
To find the 5th term in the given explicit formula, we substitute the value of 'n' as 5 into the formula.
an = -3 + (n - 1)5
Substituting n = 5:
a5 = -3 + (5 - 1)5
a5 = -3 + (4)5
a5 = -3 + 20
a5 = 17
Therefore, the 5th term in the sequence is 17.