Find an equation for the nth term of the arithmetic sequence.

-15, -6, 3, 12,

an = -15 + 9(n + 1)
an = -15 x 9(n - 1)
an = -15 + 9(n + 2)
an = -15 + 9(n - 1)

Step-by-step explanation:

The terms of the arithmetic sequence are...

-15, -6, 3, 12, ...

The first term is

a_1=-15

The common difference is

The equation for the nth term is given by;

We substitute the values into the formula to get;

D

Step-by-step explanation:

The n th term of an arithmetic sequence is

= a + (n - 1)d

where a is the first term and d the common difference

d = - 6 - (- 15) = - 6 + 15 = 9, and a = - 15

= - 15 + 9(n - 1)

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.