Given:
The sequence is
1, 4, 16, 64
To find:
The general term of the given sequence.
Solution:
We have, the sequence
1, 4, 16, 64
Here, the ratio between two consecutive terms is same. So, it is a geometric sequence.
First term is:
Common ratio is:
The nth term of a geometric sequence is
...(i)
Where, a is the first term and r is the common ratio.
Putting a=1 and r=4 in (i), we get
Therefore, the general term of the given sequence is .
Answer:
4
Step-by-step explanation:
Assign x for the number. Write an equation.
2x = 6+.5x (I'm guessing you means "6 more than half that number")
1.5x = 6 -->
x = 4
Redued by 15%
orignal=100%
decrease by 15%=100%-15%=85%
find 85% of original
orignal=15 feet
85% of 15=0.85 times 15=12.75 feet
answer is B
Answer:
4
Step-by-step explanation:
The length of CD will be twice the distance from the midpoint to the endpoint
To calculate the length use the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (8, 3)
d = 2 ×
= 2 ×
= 2 ×
= 2 ×
= 2 × 2 = 4 ← exact length
Answer:
x equals 4.6
Step-by-step explanation:
if u need explanation plz tell me so i can help