Quiz about Arithmetic or Geometric Sequences

Question 1

-21, -16, -11, -6, ...

Is this sequence arithmetic, geometric, or neither?

Accepted Answer

arithmetic (common difference d = 5)

Answer

geometric (common ratio r = 5)

Answer

neither

Question 2

Is the sequence geometric or arithmetic?
6, 18, 54...

Accepted Answer

Geometric

Answer

Arithmetic

Answer

Neither

Question 3

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

Accepted Answer

17

Answer

18

Answer

15

Answer

14

Question 4

Find the 22nd term of the following sequence:
5, 8, 11, ...

Accepted Answer

68

Answer

14

Answer

63

Answer

71

Question 5

The first two terms of an arithmetic sequence are given. Find the indicated term.

$$a_1=6,\ \ a_2=13,\ \ a_{10}=$$

Accepted Answer

69

Answer

61

Answer

67

Answer

76

Question 6

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 7

Calculate the final sum/total of the series.

Accepted Answer

9

Answer

6

Answer

21

Answer

2

Question 8

The sum of this arithmetic series is 595. a₁=28, and a_n=91. How many terms are there (what is n)?

Accepted Answer

10

Answer

9

Answer

11

Answer

12

Question 9

Determine whether the sequence is geometric. If so, find the common ratio.

4, 8, 16, 32, ...

Accepted Answer

2

Answer

-1

Answer

1/2

Answer

not geometric

Question 10

Find a formula for the nth term of the following geometric sequence. Then find the 7th term of the sequence.
3, 9, 27, ...

Accepted Answer

$$a_n=3\left(3\right)^{n-1}\ ;\ \ \ a_7=2187$$

Answer

$$a_n=3\left(3\right)^n;\ \ a_7=2187$$

Answer

$$a_n=3\left(3\right)^n;\ \ a_7=6561$$

Answer

$$a_n=3\left(3\right)^{n-1};\ \ a_7=6561$$

Question 11

Given the following two terms of a geometric sequence, write the explicit formula.

$$a_4=80;\ \ a_7=640$$

Accepted Answer

$$t\left(n\right)=5\left(2\right)^n$$

Answer

$$t\left(n\right)=2\left(5\right)^n$$

Answer

$$t\left(n\right)=2\left(10\right)^n$$

Answer

$$t\left(n\right)=10\left(2\right)^n$$

Question 12

Evaluate the geometric series below:
-4 - 8 - 16 - 32..., S₆

Accepted Answer

-252

Answer

-253

Answer

4

Answer

-235

Question 13

A geometric sequence has a first term a₁= 360 and common ratio r= 1/2, what is the fifth term?

Accepted Answer

22.5

Answer

20.5

Answer

21.5

Answer

23.5

Question 14

Find the sum of the finite geometric sequence. Round to the nearest thousandth.
$$\sum_{i=0}^4500\left(1.06\right)^i$$

Accepted Answer

2818.546

Answer

2318.546

Answer

2232.553

Answer

2187.308

Arithmetic or Geometric Sequences

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