math 2: sequences and series

Question 1

a sequence is a function with a domain consisting of the

Answer 1

natural numbers

Question 2

a series is the sum of the terms of a

Answer 2

sequence

Question 3

the lower limit in sigma notation shows the

Answer 3

starting point

Question 4

upper limit of sigma notation is the

Answer 4

ending point

Question 5

the term next to sigma represents

Answer 5

the kth term of the sequence

Question 6

arithmetic sequence terms differ from the preceding term by a

Answer 6

common difference

Question 7

general formula for an arithmetic sequence is

Answer 7

t1 + (n - 1)d

Question 8

d is the

Answer 8

common difference

Question 9

the sum of n terms of the series constructed from an arithmetic sequence is

Answer 9

Sn = n/2(t1 + tn) 
Sn = n/2[2t1 + (n-1)d]

Question 10

in a geometric sequence the ratio of any two successive terms is a constant r called the

Answer 10

constant ratio

Question 11

sum of the first n terms of a geometric series is

Answer 11

Sn= [t1 (1 - r^n)]/ ( 1 - r)

Question 12

in a geometric sequence, if absolute value r is less than 1, the sum of the series approaches a

Answer 12

limit as n approaches infinity

Question 13

if absolute value r is less than 1, the term r^n →

Answer 13

0 as n→infinity