Nth term of -7 -12 -17 -22 -27

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences are those where any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

We are given the sequence

-7 -12 -17 -22 -27 ...

The first term of this sequence is a1=-7. We can calculate the common difference by subtracting two consecutive terms:

r = -12 - (-7) = -12 + 7 = -5

The nth term is:

Multiplying:

Simplifying:

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5

is there supposed to be a diagram or a graph for this one? ?

step-by-step explanation: