Answer:

Step-by-step explanation:
Given a geometric sequence, the nth term of the geometric sequence is obtained by using the formula:

If the eleventh term, 
and the common ratio, r=-2.
Then:

The explicit formula for the sequence is:

Answer:
1.76
Step-by-step explanation:
Answer:
I(Interest) = $6.25
Step-by-step explanation:
The formula for Simple Interest
A = P(1 + rt)
Where
A = Amount after t years
P = Principal, initial amount invested = $125
r = Interest rate = 2.5%
t = time in years = 2 years
Step I
We the interest rate to a decimal
r = R/100 = 2.5%/100 = 0.025 per year.
Step 2
A = 125(1 + (0.025 × 2))
A = $131.25
The Amount received after 2 years = $131.25
The amount of interest Sarah received after 2 years
I = A - P
I = $131.25 - $125
I = $6.25
Answer: none of these
Step-by-step explanation:
They are not supplementary because 101+77 = 178 and not 180.
They are not complementary because 101+77 = 178 and not 90.
They are not vertical because there are no intersecting lines and the two angle measures are not equal.
Therefore, none of these are true.
Answer:
Step-by-step explanation:
Use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the sides and c is the hypotenuse (longest side)
a^2 + 7^2 = 8^2
a^2 + 49 = 64
a^2=15
Now take the square root of 15 which is about 3.8