4. MULTIPLE CHOICE
a. sequence
b. series
c. finite sequence
d. finite series
1. A succession of
numbers formed
according to some
fixed rule is called a
________ of numbers.
5. MULTIPLE CHOICE
a. sequence
b. series
c. finite sequence
d. finite series
2. The indicated sum of
a sequence of numbers
is called a ______.
6. MULTIPLE CHOICE
a. limit
b. fundamental theorem
on convergence
c. oscillating
d. sum
3. The limiting value S
for a convergent series
is called the ___ of the
series.
7. MULTIPLE CHOICE
a. infinite
b. divergent
c. oscillating
d. sum
4. As n increases without
limit does not approach a
definite limit, but
oscillates between 0 and
1. Such a series is called
a/an ___________ series.
8. MULTIPLE CHOICE
a. fundamental theorem on
convergence
b. theorem on convergence
c. fundamental theorem on
divergence
d. theorem on divergence
5. In developing
practicable methods for
establishing the
convergence and
divergence of series,
considerable use is made
of this theorem.
9. TRUE OR FALSE
6. A series is said to be finite if the number
of terms is limited, and infinite if the
number of terms is unlimited.
True
False
10. TRUE OR FALSE
7. A general term of a series is an
expression involving n, such that by taking n
= 0, 1, 2, 3, … , one obtains the first,
second, third, … term of the series.
True
False
11. TRUE OR FALSE
8. An infinite series is said to converge or
be convergent if the partial sums have a
definite limit S as n otherwise the series is
said to diverge or be divergent.
True
False
12. TRUE OR FALSE
9. If an infinite series of positive terms is
such that always remains less than some
constant K, the series converges and its sum
S is not greater than K.
True
False
13. TRUE OR FALSE
10. If a series is divergent, the nth term
must approach zero as n increases without
limit.
True
False
