Quiz about Arithmetic Series and Geometry

Question 1

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

Accepted Answer

3, 12, 21

Answer

-1, 7, 15

Answer

-5, 2, 9

Answer

-65, -73, -81

Question 2

Find a₂₀ in the arithmetic sequence: 5, 12, 19, 26...

Accepted Answer

138

Answer

145

Answer

144

Answer

142

Question 3

Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...

Accepted Answer

170

Answer

182

Answer

176

Answer

-118

Question 4

Find a₂₆ in the arithmetic sequence: -15, -35, -55, -75, ...

Accepted Answer

-515

Answer

-490

Answer

-535

Answer

460

Question 5

Calculate the sum of the first 15 terms of the arithmetic sequence where $$a_1 = 7$$ and $$d = 3$$ .

Accepted Answer

345

Answer

315

Answer

330

Answer

360

Question 6

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

Accepted Answer

-146

Answer

-216

Answer

-148

Answer

-150

Question 7

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

Accepted Answer

61, 70, 79

Answer

63, 72, 81

Answer

79, 88, 97

Answer

70, 79, 88

Question 8

Find the next three terms in the arithmetic sequence: 9, 19, 29, 39, ...

Accepted Answer

49, 59, 69

Answer

45, 54, 63

Answer

39, 49, 59

Answer

59, 69, 79

Question 9

Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...

Accepted Answer

-23, -28, -33

Answer

-20, -24, -28

Answer

-21, -25, -29

Answer

-24, -29, -32

Question 10

Find the common difference: 1, 201, 401, 601, ...

Accepted Answer

d = 200

Answer

d = 100

Answer

d = 101

Answer

d = 201

Question 11

Find the common difference: -18, -23, -28, -33, ...

Accepted Answer

d = -5

Answer

d = 5

Answer

d = -3

Answer

d = 3

Question 12

Find the common difference: 29, 21, 13, 5, ...

Accepted Answer

d = -8

Answer

d = -10

Answer

d = -9

Answer

d = -7

Question 13

Find the common difference: -34, -29, -24, -19, ...

Accepted Answer

d = 5

Answer

d = -5

Answer

d = -6

Answer

d = 6

Question 14

Find the given term for the sequence.
Find the 30th term of 20, 11, 2, -7, -16, ...

Accepted Answer

-241

Answer

29

Answer

-261

Answer

cannot be determined

Question 15

Find the first term of the given sequence:
a₁₄=68
d=3

Accepted Answer

29

Answer

14

Answer

20

Answer

26

Question 16

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

Accepted Answer

17

Answer

18

Answer

15

Answer

14

Question 17

Find the common ratio for the geometric sequence.

Accepted Answer

2

Answer

10

Answer

1/2

Answer

4

Question 18

Write the explicit formula for the geometric sequence.

Accepted Answer

a_n = 3(-4)^n-1

Answer

a_n = 4(3)^n-1

Answer

a_n = 3(4)^n-1

Answer

a_n = -4(3)^n-1

Question 19

What is the 9^th term in a geometric sequence with a common ratio of 2 and a first term of 3?

Accepted Answer

768

Answer

384

Answer

1,536

Answer

27

Question 20

Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}

Accepted Answer

Arithmetic

Answer

Geometric

Answer

Neither

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