Write an
explicit formula for An, the nth term of the sequence 7, -42, 252,

Step-by-step explanation:

Key skills needed: Explicit formula, Geometric sequence

1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.

This can be done by doing -42 ÷ 7   or   252 ÷ -42

-42 ÷ 7 equals -6.

252 ÷ -42 also equals -6.

2) This means that constant is -6.

3) The general form for an explicit formula of a geometric sequence is:

--> r means the constant (or common ratio) that is being multiplied.

--> means the first term

--> means the "nth" numbered term (so is the 3rd term, is the 10th term and so on).

--> is just the "n" in minus 1.

4) We can use this formula to create an explicit formula for the geometric sequence in the problem.

--> (Since we got -6 as the constant/common ratio).

--> (Since 7 is the 1st term)

This means that our formula would be -->

Hope you understood and have a nice day!! :D

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)

constants mean the stopped points or the points on a graph that nothing is changing, hope this

step-by-step explanation: