Exponent/Logarithms
The answer can be found by solving log525=X.
What is X=2?
The common difference and a52 can be found from the series {34, 28, 22, 16, ...}.
What is d=-6 and a52=-272?
The common ratio and a8 can be found using the sequence {.75, 3, 12, 48, ...}.
What is r=4 and a8=12288?
The limit limx->0(x2-25)/(x2-4x-5) can be evaluated.
What is 5?
The equation 7P4 can be evaluated.
The answer is found by solving log51=X.
What is X=0?
Given the explicit formula an=17+8n the common difference and a39 can be found.
What is d=8 and a39=329?
Given the explicit formula an=-3(1/2)n-1 you can find the common ratio and a11.
What is r=1/2 and a11=-3/1024?
The limit limx->1(7x2-4x-3)/(3x2-4x+1) can be evaluated.
What is 5?
The equation (8C5)(7C3) can be evaluated.
What is 1960?
The answer can be found by solving log21/8=X.
What is X=-3?
Given the explicit formula an=-5/2+3/2n, the recursive formula can be found.
What is an=an-1+3/2?
Given the explicit formula an=-1.5(-2)n-1 you can find the common ratio and a10.
What is r=-2 and a10=768?
The limit limx->∞ (x4-10)/(4x3+x) can be evaluated.
What is ∞?
The ski club with ten members is to choose three officers captain, co-captain, and secretary, these offices are filled in different ways.
What is 10P3 or 720?
The answer can be found by solving logy32=5.
What is y=2
Given 2 terms a11=110 and a37=370 the common difference and explicit formula can be found.
What is d=10 and an=10n?
Given the terms a4=-1/4 and a1=2 you can find the common ratio and recursive formula.
What is r=-1/2and an=an-1(-1/2)?
Given the limit limx->5(x2+kx-20)/(x-5) you can find the value of k that makes the limit exist and be finite.
What is k=-1?
An election ballot asks voters to select three city commissioners from a group of six candidates with many ways to fill them.
What is 6C3 or 20?
The answer can be found by writing (1/2)-5=32 in logarithmic form.
What is log1/232=-5?
Evaluate the sequence a1=14, an=86, and n=6.
What is 500?
The sequence a1=1, r=4, and n=7 can be evaluated.
What is 5461?
The limit limx->∞2x2-3x can be evaluated.
What is ∞?
To win the small country lottery one must correctly select 3 numbers from 30 numbers, the order doesn't matter, there are numerous possibilities.
What is 30C3 or 4060?