Answer:
Step-by-step explanation:
Given:
Fifth term of a geometric sequence = 
Common ratio (r) = ¼
Required:
Formula for the nth term of the geometric sequence
Solution:
Step 1: find the first term of the sequence
Formula for nth term of a geometric sequence = 
, where:
a = first term
r = common ratio = ¼
Thus, we are given the 5th term to be ¹/16, so n here = 5.
Input all these values into the formula to find a, the first term.
Cross multiply
Divide both sides by 16
Step 2: input the value of a and r to find the nth term formula of the sequence
nth term =
nth term = 
Answer:
3
Step-by-step explanation:
Slope = y2- y1/ x2- x1
= 4 - (-2) / 3 -1
= 4+2/ 2
=6/2 = 3
Answer:
A=3x^2 -14x -5
Step-by-step explanation:
(x-5)(3x+1)
3x^2 +x -15x -5
3x^2 -14x -5
Answer:
1.4 hours or 83 minutes
Step-by-step explanation:
90 mi / 65 mph = 1.4 hr
The first thing we have to do is to calculate the
midpoint of the min and max speeds. We are given that the min and max is 74 and
95 respectively. The midpoint is then calculated as (max+min) / 2. Therefore:
midpoint = (74 + 95) / 2 = 84.5
Next, we calculate the distance from the midpoint to the
endpoint by doing subtraction. Therefore:
min endpoint: 84.5 – 74 = 10.5
max endpoint: 95 – 84.5 = 10.5
Now we know that v minus the midpoint will equal the
distance such that:
| v - midpoint | = distance.
To our problem,
| v – 84.5 | = 10.5
