The common ratio in a geometric sequence is the ratio between 2 consecutive terms:
-8/2=-4,
then the sequence is 2, -8, 32, -128, -512, 2048, ...
let

be the nth term of the sequence, then




.
.
.
so clearly

and, clearly n are integers >0, since we have a 1st term, a second term and so on... of a sequence (we do not have a "zero'th term"!
Answer:
<span>C. an=2(-4)^n-1; all integers where n>0</span>
Answer:
f(x) = 2x3 + 4
Stretch vertically be a factor of 2:
f(x) = 2*2x3 + 4 = 4x3 + 4
Shift 5 units to the left:
f(x) = 4(x+5)3 + 4
Answer:
The points of the rotated shape are: (4, 1), (5, 3), (4, 4), (2, 1), (1, 3), (2, 4)
Step-by-step explanation:
From the part of the shape we can see and the symmetry, the missing points are:
(-2, -1)
(-1, -3)
(-2, -4)
Rotation 180° about the origin transforms the point (x, y) into (-x, -y). Applying this rule to our figure, we get:
(-4, -1) -> (4, 1)
(-5, -3) -> (5, 3)
(-4, -4) -> (4, 4)
(-2, -1) -> (2, 1)
(-1, -3) -> (1, 3)
(-2, -4) -> (2, 4)
Answer:
7
Step-by-step explanation:
absolute value of 7 is 7