Other Sequences and Series

Practice Questions

Algebra II › Other Sequences and Series

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1

A sequence begins as follows:

$\frac{1}{5} , \frac{1}{6} , \frac{1}{7} , \frac{1}{8} , ...$

Which statement is true?

2

A sequence begins as follows:

Which statement is true?

3

A sequence begins as follows:

Which statement is true?

4

A sequence begins as follows:

Which statement is true?

5

Evaluate:

$\sum_{k = 1} ^{5} \frac{1}{k}$

6

The harmonic series is $1, \frac{1}{2} , \frac{1}{3} , \frac{1}{4} , ... , \frac{1}{n}$ where the nth term is the reciprocal of n. Which would work as a recursive formula $a _{n} = f(a_{n-1})$ where $a_{n}$ is the nth term?

7

The sum of the first n integerss can be found using the formula $\sum_{k=1}^{n} k = \frac{n(n+1)}{2}$ .

Find the sum of every number between 17 and 8,043, inclusive.

8

A sequence is defined recursively as follows:

$a_{1} = 1$

$a_{2} = -1$

$a_{n} = a_{n - 1} a_{n - 2}$ for

How many of the first twenty terms of the sequence are positive?

9

The sum of the first n integers can be found using the formula $\sum_{k=1}^{n} k = \frac{n(n+1)}{2}$

Find the sum of all the integers from -2,256 to 4,400.

10

What is the mean of the following quiz scores.

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