Chapter 11a

Question 1

sequence

Answer 1

A function whose domain is the set of natural numbers (term numbers), and whose range is the set of term values.

Question 2

arithmetic sequence

Answer 2

A sequence in which one term is equal to a constant added to the preceding term.

Question 3

geometric sequence

Answer 3

A sequence in which each term equals a constant multiplied by the preceding term.

Question 4

arithmetic mean

Answer 4

Numbers which form arithmetic sequences with the two given numbers

Question 5

geometric mean

Answer 5

Numbers which form geometric sequences with the two given numbers

Question 6

series

Answer 6

indicated sum of the terms of a sequence.

Question 7

nth partial sum

Answer 7

Sum of the first n terms of that series.

Question 8

arithmetic series

Answer 8

Series which results from adding the terms of an arithmetic sequence, respectively.

Question 9

Geometric series

Answer 9

Series which results from adding the terms of a geometric sequence, respectively.

Question 10

converges

Answer 10

A series COVERGES to a number of S if the partial sums, Sn stay arbitrarily close to S as n gets very large.

Question 11

common ratio

Answer 11

the amount between each number in a geometric sequence.

Question 12

common difference

Answer 12

the difference between two consecutive terms of an arithmetic progression.

Question 13

limit

Answer 13

When n approaches infinity