Write an equation for the nth term of the arithmetic sequence –1, –3, –5, –7,

Step-by-step explanation:

The arithmetic sequence formula looks like this:

where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.

Each consecutive term is decreased by 2 over the last, so d = 2. The first term is -1 of course, so you can write this equation:

Just to confirm:

And it works, -5 is the 3rd term in the sequence.

= 1 - 2n

Step-by-step explanation:

The nth term of an arithmetic sequence is

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 1 and d = a₂ - a₁ = - 3 - (- 1) = - 3 + 1 = - 2 , then

= - 1 - 2(n - 1) = - 1 - 2n + 2 = - 2n + 1 = 1 - 2n

answer: a

step-by-step explanation:

10.2 units