Question

NEED HELP WILLING TO GIVE ALOT OF POINTS I have a test if anyone is willing to help me. A geometric sequence is shown below.

{1,-4, 16,-64,...}
Which equation represents the sequence above?
an=-4 x 12-1
an=4 x 1-1
an = 1 x (-4)n-1
an = 1 x 4-1

Answer 1

The geometric sequence given is represented by the formula an = 1 x
`(-4)^n^-^1.`, where n is the term number in the sequence. Therefore correct option is C

Step-by-step explanation:

The question asks which equation represents the given geometric sequence {1,-4, 16,-64,...}.

To determine the equation, we observe that each term is obtained by multiplying the previous term by -4. The first term is 1, and every term after that follows this pattern.

Therefore, the nth term of the sequence, denoted by an, can be calculated by the formula an = 1 ×
`(-4)^n^-^1.` This is because starting with 1 (the first term), you multiply by -4 to get the second term, and you do this n-1 times to get the nth term.