College Algebra
Use a calculator to evaluate the following expression:
48!/(48-2)!2!
34!/(34-4)!
Use a calculator to evaluate the following expression. Approximate your answer, when necessary.
30!/225
(375/15)!
158!/156!
Rewrite the following sum using summation notation. Represent the index and lower limit of the summation as k and any number of your choice, respectively. Do not evaluate.
(p + q) + (p + 3q) + (p + 5q) + ⋯ + [p + (2n - 1)q]
Rewrite the following sum using summation notation. Represent the index and lower limit of the summation as i and any number of your choice, respectively. Do not evaluate.
ar2 + ar4 + ar6 + ar8 +...+ ar24
4 + 9 + 14 + 19 +...+ 59
Rewrite the following sum using summation notation. Represent the index and lower limit of the summation as k and 1, respectively. Do not evaluate.
1 + 4 + 7 + ... + (3n - 2)
7 + 72/2 + 73/3 + ... + 7n/n
1/4 + 2/5 + 3/6 + ... + 20/(20 + 3)
Rewrite the following sum using summation notation. Represent the index and lower limit of the summation as k and 5, respectively. Do not evaluate.
5 + 6 + 7 + ... + 35
6 + 62 + 63 + ... + 620
16 + 26 + 36 + ... + 206
Evaluate the indicated summation.
Consider the given factorial expression and completely simplify it.
(n+4)!/(n+5)!
Consider the given factorial expression and evaluate it.
21!/2!19!
23!/21!
A factorial is used in the general term of a sequence, which is given. Write the sequence's first four terms.
an = 3(2n-1)!
an = (n +1)2/(n +2)!
Write the first four terms of the sequence using the recursion formula.
a1 = 8 and an = 6an-1 + 1 for n≥2
a1= 5 and an=7an-1 for n≥2
a1=9 and an=an-1 + 2 for n≥2
In the sequence whose general term is provided, write the first four terms.
an = (−1)n+1/(3n−1)
an=6n/(n+9)
an=(−1)n(n+7)
an=(-5)n
an=7n
an=7n+9
Which of the following summation notations represents the expression 4/7 + 5/8 + 6/9 + ... + 17/20?
Find the following sum:
Evaluate the expression: 52!/(3!50!)
For the general term of the sequence given, write its first four terms: an = 4/(n+1)!
For the general term of the sequence given, write its first four terms: an = 4n + 5
The graph of {an} is given below. Evaluate the specified sum.
The graphs of {an} and {bn} are given below. Evaluate the specified sum.
Evaluate the sum using the graphs of {an} and {bn}.
Consider the given sequence whose first term is 2, and the general term is n ≥ 2. State the first six terms of the given sequence.
n ≥ 2. State the first six terms of the given sequence.