Question

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)

Answer #2

answered by: anonymous

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

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 =

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.

Write a recursive formula for an arithmetic sequence whose 4th
term is 5 and whose 7th term is -22. a)a↓1=32, a↓n=a↓n-1-9
b)a↓1=32, a↓n=a↓n-1-27 c)a↓1=56, a↓n=a↓n-1-17 d)a↓1=5,
a↓n=a↓n-1-22

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...

Let a1= - 1 , an+1= (6+an) /
(2+an).
a) Assume that the given recursive sequence is convergent. Find
the limit.
b) Is the given sequence bounded? Why?

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 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?

Consider the sequence(an)n≥1that starts1,3,5,7,9,...(i.e, the
odd numbers in order).
(a) Give a recursive definition and closed formula for the
sequence.
(b) Write out the sequence(bn)n≥2 of partial sums of (an). Write
down the recursive definition for (bn) and guess at the closed
formula.
(b) How did you get the partial sums?

1. Let |a2| = |a6| and a3=1, find an
2. 4. consecutive terms whose sum = 40
a2 * a3 = a1*a4 +8, find a1,a2,a3,a4

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 9 minutes ago

asked 35 minutes ago

asked 35 minutes ago

asked 44 minutes ago

asked 48 minutes ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago