Question

Find a formula for the nth term of the arithmetic sequence:

Second term [-12]
Common difference [5]
a) an=−12+5n
b) an=5n−12
c) an=−12−5n
d) an=5n+12

Answer 1

The formula for the nth term of an arithmetic sequence is an = a1 + (n-1)d, where a1 is the first term and d is the common difference. For this sequence, the formula is an = -12 + 5n.

Step-by-step explanation:

The formula for the nth term of an arithmetic sequence is:

an = a1 + (n-1)d

where a1 is the first term of the sequence and d is the common difference.

In this case, the second term is -12 and the common difference is 5. So the formula for the nth term of the sequence is:

an = -12 + 5n