Arithmetic and Geometric Sequences and Series

Work out the missing terms in this arithmetic sequence:

____, 18, ___, 8, 3, ___, -7, -12 ...

• 23, 13 , -2 ,

• -5 , -10,-15

• 23 , 13 , 5

• 20 , 15 , 10

2,6,18,n,162... , what is the value of n?

• 24

• 34

• 44

• 54

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

Is this sequence arithmetic, geometric, or neither?

• arithmetic (common difference d = 5)

• geometric (common ratio r = 5)

• neither

Describe the sequence, find the 5th term, and write the rule

• geometric, a₅ = 2, a_n = 2n - 10

• geometric, a₅ = 0, a_n = -10n + 2

• arithmetic, a₅ = 2, a_n = -10n + 2

• arithmetic, a₅ = 0, a_n = 2n - 10

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

• 64

• 32

• 108

• 20

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

• 14

• 68

• 63

• 71

Find the common difference:  a₂ = 6 and a₆ = -14

• -1

• -5

• -2

• 2

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

• 1,600

• 18,235

• 18,475

• 19,125

• -390,625

• 390,625

• 1,953,125

• 78,125

• 195,312

• -65,104

• 292,969

• -130,208