Ch 1 - Series

Observe the following sequence 55, 49, 43, 37, …

Which number term is 1?

• 9

• 10

• 11

• 12

Which one of the following formulae can be used for a sequence that is recurring with a common difference?

• all of the above

• –60

• –120

• –240

• –480

Observe the following sequence: 6, 24, 96, 384, ….

What is the formula for its n^th term?

Using the formula for the limiting sum of a geometric series, what is the recurring decimal 4.5̇6̇ expressed as a fraction?

• 2

• 4

• 5

• 6

The third term of an arithmetic sequence is 26 and the tenth term is −51. What is the 100th term?

• –559

• –889

• –1030

• –1041

The sum of the first 11 terms of a geometric sequence with ratio −3 is 88 574.

What is the fourth term of the sequence?

• 18

• –54

• 64

• –192