Question

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.

Answer #1

1. For the sequence an=9+(−1)^n
its first term is
its second term is
its third term is
its fourth term is
its 100th term is
2. Find a formula for the general term an of the sequence
assuming the pattern of the first few terms continues.
{4/3, 4/9, 4/27, 4/81, 4/243, ⋯}
Assume the first term is a1
an =

A sequence has a recursive formula of an = (-2)n (an-1) for n≥2.
The fourth term a4 is 1,536.
a. Find the first term a1. (5 points)
b. Find the sixth term a6. (5 points)

1. Find the limit of the sequence whose terms are given by an=
(n^2)(1-cos(5.6/n))
2. for the sequence an= 2(an-1 - 2) and a1=3
the first term is?
the second term is?
the third term is?
the forth term is?
the fifth term is?

solve the non-homogenous recurrence relation for
an =
2an-1+an-2-2an-3+8.3n-3 where
a0 = 2, a1 = 6 ve
a2=13
Find characteric equation by plugging
in an = rn
try to solve general solution and solve nonhomogeneous
particular solution
and find total final answer please..
My book anwer is
A(1)n+B(-1)n+C(2)n+k3n
, A=1/2, B=-1/2, C=1 ve k=1.
can you give me more explain about this please..?

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.

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?

1)
Find the first term, common difference, and give a recursive
formula for the sequence.
8th term is 55; 15th term is 118
options:
a) first term= -8, diff= 9, recursice formula= a^n-1+9
b) -8, 9, a^n-1+9

Consider the sequence defined recursively by
an+1 = (an + 1)/2 if an is an odd number
an+1 = an/2 if an is an even number
(a) Let a0 be equal to the last digit in your student number,
and compute a1, a2, a3, a4.
(b) Suppose an = 1, and find an+4.
(c) If a0 = 4, does limn→∞ an exist?

We are given a sequence of numbers: 1, 3, 5, 7, 9, . . . and
want to prove that the closed formula for
the sequence is an = 2n – 1.
What would the next number in the sequence be?
What is the recursive formula for the
sequence?
Is the closed formula true for
a1?
What about a2?
What about a3?
Critical Thinking
How many values would we have to check before we could be sure
that the...

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...

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