Answer:
D. 6 7/8
Step-by-step explanation:
First, convert 2 3/4 to an improper fraction.
2 times 4 = 8
8+3=11
11/4 ÷2/5
Then, flip the second fraction and change the sign to multiplication.
11/4 × 5/2
Multiply.
11 × 5 = 55
4 × 2 = 6
55/6
Simplify the fraction.
6 7/8
Answer: The answer is 5, 10, 20, 40 and 80.
Step-by-step explanation: We are to write the first five terms of a sequence, along with the explicit and recursive formula for the general term of the sequence.
Let the first five terms of a sequence be 5, 10, 20, 40 and 80. These terms are taken from a geometric sequence with first term 
and common ratio 
Therefore, we have
Therefore, the recursive formula is
And explicit formula is
Answer:
A. X^2
Step-by-step explanation:
Answer:
n= -9
Step-by-step explanation:
Simplifying
-2(n + 3) + -4 = 8
Reorder the terms:
-2(3 + n) + -4 = 8
(3 * -2 + n * -2) + -4 = 8
(-6 + -2n) + -4 = 8
Reorder the terms:
-6 + -4 + -2n = 8
Combine like terms: -6 + -4 = -10
-10 + -2n = 8
Solving
-10 + -2n = 8
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + -2n = 8 + 10
Combine like terms: -10 + 10 = 0
0 + -2n = 8 + 10
-2n = 8 + 10
Combine like terms: 8 + 10 = 18
-2n = 18
Divide each side by '-2'.
n = -9
Simplifying
n = -9
