Which is an equation for the nth term of the sequence? 12, 15, 18, 21, question 1 options: a) = 12n + 3 b) = 3n + 9 c) = n + 3 d) = 9n + 3

 The correct option is (B)

Step-by-step explanation:  We are given to select the equation that represents the nth term of the following sequence :

12,   15,   18,   21,  .    .   .

We see that

the given sequence is an arithmetic one with first term a = 12  and common difference d given by

d = 15 - 12 = 18 - 15 = 21 - 18 =  .   .   .   =3.

We know that

the nth term of an arithmetic sequence with first term a and common difference d is given by

Therefore, the nth term of the given sequence is

Thus, the required nth term of the given sequence is

Option (B) is CORRECT.

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180

nswer: a   y-axis

step-by-step explanation: