1. For the sequence an=9+(−1)^n
its first term is
its second term is
its third term...
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...
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...
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
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?
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...
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 =...
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
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...