Question

What is the linear function defines the following Arithmetic Sequence? -5, -3, -1, 1, 3, ...

a. an = -5 + 2(n - 1)

b. an = -5 - 2(n - 1)

c. an = 5 - 2(n - 1)

d. an = 5 + 2(n - 1)

Answer 1

an = -5 + 2( n-1)

Explanation:

The formula for an arithmetic sequence is

an = a1+ d ( n-1)

where a1 is the first term and d is the common difference

a1 = -5 since it is the first term in the sequence

d = term 2 minus term1

= -3 - (-5)

= -3+5 = 2

an = -5 + 2( n-1)