Find the first, second, third, fourth, and fifth term for
each...
a)For the sequence an=an−1+an−2an=an−1+an−2 and...
Find the first, second, third, fourth, and fifth term for
each...
a)For the sequence an=an−1+an−2an=an−1+an−2 and
a1=1,a2=2a1=1,a2=2,
b) a1=−1; an+1=−2an−1
c) an=2(an−1−2)an=2(an−1−2) and a1=5a1=5,
I will give thumbs up and comment for correct answers.
Consider the following sequence: 0, 6, 9, 9, 15, 24, . . .. Let
the first...
Consider the following sequence: 0, 6, 9, 9, 15, 24, . . .. Let
the first term of the sequence, a1 = 0, and the second, a2 = 6, and
the third a3 = 9. Once we have defined those, we can define the
rest of the sequence recursively. Namely, the n-th term is the sum
of the previous term in the sequence and the term in the sequence 3
before it: an = an−1 + an−3. Show using induction...
1)
Write nth term suggested by pattern.
1, 1/4, 1/16, 1/64, ...
2) Find first term...
1)
Write nth term suggested by pattern.
1, 1/4, 1/16, 1/64, ...
2) Find first term (a1), the common difference (d), and give a
recursive formula (an) for sequence.
8th term is 55; 15th term is 118
3) Find the nth term and the indicated term of arithmetic
sequence whose initial term and common difference are given.
first term=6
common diff= -10
nth term?
13th term?
The first difference of a sequence is the arithmetic sequence 1,
3, 5, 7, 9, .......
The first difference of a sequence is the arithmetic sequence 1,
3, 5, 7, 9, .... Find the first six terms of the original sequence
in each of the following cases.
a. The first term of the original sequence is 2.
b. The sum of the first two terms in the original sequence is
9.
c. The fifth term in the original sequence is 32.
4 terms of a sequence of partial sums are given by:
{Sn} = {27,
45, 57,...
4 terms of a sequence of partial sums are given by:
{Sn} = {27,
45, 57, 65, ...}
1. What are the first 4 terms of the corresponding
series? a0 = a1 = a2 =
a3 =
Find the general form of the series using summation notation and
starting at k = 0.
2. Does the sequence of partial sums
{Sn} converge (and to what) or
diverge?
Find a general term (as a function of the variable n) for the
sequence{?1,?2,?3,?4,…}={45,1625,64125,256625,…}{a1,a2,a3,a4,…}={45,1625,64125,256625,…}.
Find a...
Find a general term (as a function of the variable n) for the
sequence{?1,?2,?3,?4,…}={45,1625,64125,256625,…}{a1,a2,a3,a4,…}={45,1625,64125,256625,…}.
Find a general term (as a function of the variable n) for the
sequence {?1,?2,?3,?4,…}={4/5,16/25,64/125,256/625,…}
an=
Determine whether the sequence is divergent or convergent. If
it is convergent, evaluate its limit.
(If it diverges to infinity, state your answer as inf . If it
diverges to negative infinity, state your answer as -inf . If it
diverges without being infinity or negative infinity, state your
answer...