Answer: an = -3 · 2^n - 1
Step-by-step explanation:
In a geometric series, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as
an = a1 × r^(n - 1)
Where
a1 represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
Looking at the given sequence,
a = - 3
r = - 6/ - 3 = 2
Therefore, the formula for the sequence is
an = - 3 × 2^(n - 1)
The formula for volume of a prism is Length x width x height.
The volume of the prism is 5 x 5 x 3.5 = 87.5 cubic inches.
The volume of the prism is smaller than the volume of the confetti, so it won't all fit.
Answer:
three million
Step-by-step explanation:
First, remove the parentheses:
7x+7=1
Then, subtract 7 from both sides of the problem.
7x-6
Then, divide 7 from 7x, and divide 7 to -6.
x= -6/7 or -0.85
Answer:
And replacing we got:
And for this case we can use the first point to find the intercept like this:
And solving we got:
And then the line equation would be given by:
Step-by-step explanation:
For this case we have the following two points given:
And for this case we want an equation for a line with the two points given by:
Wher m is the slope and b the y intercept. We can find the slope with this formula:
And replacing we got:
And for this case we can use the first point to find the intercept like this:
And solving we got:
And then the line equation would be given by: