Given the explicit formula, find the 7th term.
an = −3 + (n − 1)5
Wrong
To find the 7th term, we substitute n = 7 into the formula:
a7 = -3 + (7-1)5
= -3 + (6)5
= -3 + 30
= 27
Therefore, the 7th term is 27.
To find the 7th term of the sequence described by the explicit formula an = −3 + (n − 1)5, you need to substitute n = 7 into the formula and simplify.
an = −3 + (n − 1)5
a7 = −3 + (7 − 1)5
Now, let's simplify the expression inside the brackets:
a7 = −3 + (6)5
Next, perform the multiplication:
a7 = −3 + 30
Finally, simplify the addition:
a7 = 27
Therefore, the 7th term of the sequence is 27.
To find the 7th term, we need to substitute n = 7 into the given explicit formula for the nth term, which is:
an = -3 + (n - 1)5
Now, let's substitute n = 7 into the formula and calculate the 7th term:
a7 = -3 + (7 - 1)5
= -3 + (6)5
= -3 + 30
= 27
Therefore, the 7th term of the sequence is 27.