Question

Find the geometric means in the following sequence.

-14, ?, ?, ?, ?, -235,298

A. 98, 686, 4,802, 33,614

B. -1,960, -2,940, -3,920, -4,900

C. -98. -686, -4,802, -33,614

D. -686, -4,802, -33,614.-235,313

Kindly explain well

Answer #1

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1) Given the geometric sequence an with the
following information, find a10.
a5=15
a8=59
Select the correct answer below:
a10=5/27
a10=5/9
a10=5/81
a10=5/243
2)
Is the following sequence a geometric sequence? If so, find its
common ratio.
11,−112,−6,−132,−7,…
Select the correct answer below:
The sequence is geometric with common ratio −3/32.
The sequence is geometric with common ratio −1.
The sequence is geometric with common ratio −1/2.
The sequence is geometric with common ratio −1/4.
The sequence is not geometric.

1a. Find a1 and r for a geometric sequence with the values given
below
an= 63, n=3, Sn=91
a1= ?
r=?
b. find the sum of the terms in the arithmetic sequence below
Sn
-10, -12, -14, -16,... -24
Sn=?

Consider the sequence (an)n≥0 which begins 3,8,13,18,23,28,...
(note this means a0 = 3) (a) Find the recursive and closed formulas
for the above sequence. (b) How does the sequence (bn)n≥0 which
begins 3,11,24,42,65,93,... relate to the original sequence (an)?
Explain. (c) Find the closed formula for the sequence (bn) in part
(b) (note, b0 = 3). Show your work.

1 .Answer the following questions about the arithmetic sequence
2, 5, 8, 11, .... . Find n if the series 2 + 5 + 8 + 11 + ⋯ + 119 =
2420.
2. Answer the following questions about the geometric sequence
3, 12, 48, 192. Which term in the sequence is 12288?
3. Find the sum of the series 106 + 103 + 100 + 97 + ⋯ − 41.
4.Find S7 and S∞ for the series 6 +...

Use the following values: n = 14,
sD = 1.20, and d = 0.87.
A) Find the P-value for the test
H0: μD = 0
H1: μD ≠ 0
B) Compute the lower limit of the 89% confidence interval on the
difference between population means.
C) Compute the upper limit of the 89% confidence interval on the
difference between population means.

Use the following values: n = 14,
sD = 1.20, and d = 0.87.
A) Find the P-value for the test
H0: μD = 0
H1: μD ≠ 0
B) Compute the lower limit of the 89% confidence interval on the
difference between population means.
C) Compute the upper limit of the 89% confidence interval on the
difference between population means.

a) Is the following a geometric series??? Why? b) If it is,
determine if it is convergent or divergent. Why? c) If it is
convergent, find its sum; d) write the next three terms.
1/8 + 1/4 + 1/2 + 1...

For the sequence 8x + 4, 7x + 3, 6x + 2, 5x +1, ... ,
a. Identify the next 3 terms.
b. Is the sequence arithmetic or geometric? How do you know?
c. Find the explicit and recursive formulae for this
sequence.
d. Write out the sum formula for the first 20 terms and
evaluate.
e. Write your process to part (d) in Sigma Notation.

Determine whether the following sequences converge or diverge.
If a sequence converges, find its limit. If a sequence diverges,
explain why.
(a) an = ((-1)nn)/
(n+sqrt(n))
(b) an = (sin(3n))/(1- sqrt(n))

Find the indicated probabilities using the geometric
distribution, the Poisson distribution, or the binomial
distribution. Then determine if the events are unusual. If
convenient, use the appropriate probability table or technology to
find the probabilities. Sixty dash two percent of U.S. adults
oppose hydraulic fracturing (fracking) as a means of increasing
the production of natural gas and oil in the United States. You
randomly select six U.S. adults. Find the probability that the
number of U.S. adults who oppose fracking...

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