Questions on Sequences and Series

In a geometric sequence, the ratio between any two consecutive terms is called the:

• common difference

• common ratio

• general term

• partial sum

A sequence that has a definite end is called an:

• infinite sequence

• finite sequence

• arithmetic sequence

• geometric sequence

The sum of the terms of a geometric sequence is called a:

• geometric series

• arithmetic series

• infinite series

• partial sum

A geometric series converges if:

• the common ratio is greater than 1

• the common ratio is less than -1

• the absolute value of the common ratio is less than 1

• the absolute value of the common ratio is greater than 1

The general term of a geometric sequence is given by:

• a_n = a_1 + (n-1)d

• a_n = a_1 * r^(n-1)

• a_n = a_n-1 + d

• a_n = a_n-1 * r

A sequence defined by a recursive formula involves:

• defining the first term and a rule for finding subsequent terms

• defining the last term and a rule for finding previous terms

• defining the middle term and a rule for finding terms on either side

• defining all terms explicitly

A decimal that repeats indefinitely is called a:

• terminating decimal

• repeating decimal

• irrational number

• rational number

The sum of the first n terms of a series is called the:

• general term

• common ratio

• common difference

• partial sum

A series that does not have a finite sum is called:

• convergent series

• divergent series

• infinite series

• geometric series

In an arithmetic sequence, the difference between consecutive terms is called the:

• common ratio

• common difference

• general term

• partial sum