Harmonic Sequences and Mean

Reciprocal is the ____ of a certain number.

• Additive inverse

• Product

• Multiplicative Inverse

• Identity

It is the reciprocal of the arithmetic mean of a corresponding arithmetic sequence.

• Geometric Mean

• Harmonic Sequence

• Geometric Sequence

• Harmonic Mean

What are the next two terms of the sequence:

1/7, 1/17, 1/27, ....

• 1/33 and 1/37

• 1/35 and 1/42

• 1/37 and 1/47

• 1/37 and 1/44

What is the harmonic mean between 1/3 and 1/27

• 1/14

• 1/15

• 1/16

• 1/17

What is the 10th term of the harmonic sequence:

1/3, 2/3, 0, -2/3, ....

• -5/69

• -6/79

• -7/89

• -8/99

Which of the following is NOT a harmonic sequence?

• 1, 1/2, 1/3, 1/4, ....

• 2, 1, 2/3, 1/2, ....

• 3, 6, 9, 12, ....

• 1, -1, -1/3, -1/5, ....

What is the harmonic mean between 1/20 and 1/70?

• 1/45

• 1/46

• 1/47

• 1/48

What is the 6th term of the harmonic sequence:

1/2, 1/9, 1/16, ....

• 1/30

• 1/33

• 1/37

• 1/44

What are the next two terms of the harmonic sequence:

1/4, 1/7, 1/10, 1/13, ...

• 1/15 and 1/17

• 1/16 and 1/20

• 1/16 and 1/19

• 1/15 and 1/18

What are the two harmonic means between 1/4 and 1/25

• 1/10 and 1/17

• 1/11 and 1/18

• 1/12 and 1/19

• 1/12 and 1/21