Question

What is the explicit formula for the sequence? -7,-4,-1,2,5

Answer 1

y = -7 + 3(n-1)

Explanation:

The basic formula for an explicit formula is:

`a_(n)` =
`a_(1)` + d(n-1)

The first term is clearly -7 and the common difference is 3 because each term is 3 more than the term before it:

`a_(n)` = -7 + 3(n-1)

Answer 2

an =a1+d(n-1)

a1=-7

d= -4--7=-4+7=3

an =-7+3(n-1)

or

an = -7+ 3n-3

an=-10+3n