Answer:
4 + 12 + 36 + ...
Step-by-step explanation:
4, 12, 36, ... is a geometric sequence, it has a common ratio of 
When we add the terms of a geometric sequence we get a geometric series.
4+12+36+ ... is a geometric series, it has a common ratio of 
4 + 12 + 20 + ... is not a geometric series because it has no common ratio

The second choice is correct
F(1) = 2
f(2) = 3f(1) = 3(2) = 6
f(3) = 3f(2) = 3(6) = 18 (A)
Answer:
x = 34 degrees
Step-by-step explanation:
Each solid line and triangle add up to 180, so start from the left and slowly do your math.
180 - 112 = 68
180 - 68 - 43 = 69
180 - 69 = 111
180 - 111 - 35 = 34
x and the last angle are the same.
Answer:
The student incorrectly used the Distributive property!
Step-by-step explanation:
The Distributive property says a(b+c)=ab+ac
In this problem the answer SHOULD be 3n-15, however the <u>student forgot to distribute the 3 to the -5</u>!
Answer:
(x - 9)(x + 3)
Step-by-step explanation:
Given
x² - 6x - 27
Consider the factors of the constant term (- 27) which sum to give the coefficient of the x- term (- 6)
The factors are - 9 and + 3, since
- 9 × 3 = - 27 and - 9 + 3 = - 6, thus
x² - 6x - 27 = (x - 9)(x + 3)