Answer:
195.25
Step-by-step explanation:
Consider geometric series S(n) where initial term is a
So S(n)=a+ar^1+...ar^n
Factor out a
S(n)=a(1+r+r^2...+r^n)
Multiply by r
S(n)r=a(r+r^2+r^3...+r^n+r^n+1)
Subtract S(n) from S(n)r
Note that only 1 and rn^1 remain.
S(n)r-S(n)=a(r^n+1 -1)
Factor out S(n)
S(n)(r-1)=a(r^n+1 -1)
The formula now shows S(n)=a(r^n+1 -1)/(r-1)
Now use the formula for the problem
Answer:
4/1. ( not so sure tho)
Step-by-step explanation:
=[(6/6)×(6/6)] + [(5/6)×(6/6)] + [(6/6)×(5/6)]
=(36/36) + (30/36) + (30/36)
=(taking LCM) 96/36
=4/1.
hope this helps
Answer:
Step-by-step explanation:
-For a known standard deviation, the sample size for a desired margin of error is calculated using the formula:
Where:
- is the standard deviation
- is the desired margin of error.
We substitute our given values to calculate the sample size:
Hence, the smallest desired sample size is 23
Answer:
a₆ = 6
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
r = = = = -
This indicates the sequence is geometric.
To obtain any term in the sequence, multiply the previous term by r, thus
a₅ = 216 × - = - 36
a₆ = - 36 × - = 6
9514 1404 393
Answer:
x^2 +4x -21
Step-by-step explanation:
Substitute the given expressions and simplify.
f(x) + g(x)
= (x^2 +3x -28) +(x +7)
= x^2 +(3+1)x +(-28 +7)
= x^2 +4x -21