Quiz about Sequences Series and Summation

Question 1

This symbol is:

Accepted Answer

sigma

Answer

a funky looking "E"

Answer

theta

Answer

pi

Question 2

Find the common ratio of the geometric sequence 11, -55, 275,...

Accepted Answer

-5

Answer

5

Answer

25

Answer

-25

Question 3

Find the sum of the arithmetic series using a formula.

Accepted Answer

516,242

Answer

516, 240

Answer

116, 242

Answer

506, 242

Question 4

What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47 + ...?

Accepted Answer

18,475

Answer

1,600

Answer

18,235

Answer

19,125

Question 5

Express the sum of the series $$1 - \frac{1}{2} + \frac{1}{4} - \frac{1}{8} + ...$$ to infinity using summation notation.

Accepted Answer

$$\sum_{n=0}^{\infty} (-\frac{1}{2})^n$$

Answer

$$\sum_{n=1}^{\infty} (-\frac{1}{2})^{n-1}$$

Answer

$$\sum_{n=0}^{\infty} (\frac{1}{2})^n$$

Answer

$$\sum_{n=1}^{\infty} (\frac{1}{2})^{n-1}$$

Question 6

Express the sum of the series $$4 + 7 + 10 + ... + 49$$ using summation notation.

Accepted Answer

$$\sum_{n=1}^{15} (3n + 4)$$

Answer

$$\sum_{n=1}^{15} (3n + 1)$$

Answer

$$\sum_{n=1}^{16} (3n + 1)$$

Answer

$$\sum_{n=0}^{15} (3n + 4)$$

Question 7

Find the sum for the following series.

Accepted Answer

-682

Answer

44

Answer

-162

Answer

324

Question 8

Determine if the series converges or diverges

Accepted Answer

Converges

Answer

Diverges

Question 9

Is this sum finite or infinite?

Accepted Answer

Infinite, because there are an infinite amount of terms to add up (m goes from 1 to infinity).

Answer

Finite, because there are 4 terms to add up.

Question 10

The next term of the sequence 2,4,8,16 is

Accepted Answer

32

Answer

64

Answer

108

Answer

20

Question 11

In a geometric sequence, what does r represent?

Accepted Answer

Common ratio

Answer

Radical

Answer

Common difference

Question 12

Find the common ratio of the geometric sequence 6, 42, 294,...

Accepted Answer

7

Answer

6

Answer

8

Answer

49

Sequences Series and Summation

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