Question

What is the 5th term in an arithmetic sequence given the information below?

Second term-2
Common differences -2

Answer 1

The 5th term in the arithmetic sequence is -10.

Step-by-step explanation:

The 5th term in an arithmetic sequence can be found using the formula:

an = a1 + (n-1) * d

where an is the nth term, a1 is the first term, n is the number of terms, and d is the common difference.

Given that the second term is -2 and the common difference is -2, we can substitute these values into the formula:

a5 = -2 + (5-1) * -2

a5 = -2 + 4 * -2

a5 = -2 - 8

a5 = -10

Therefore, the 5th term in the arithmetic sequence is -10.