subject

Mathematics, 31.01.2020 12:57 ajayrose

Which sequence are geometric? select three options.

Which sequence are geometric? select three options.

ansver

Answers: 3

Show answers

Answers

ansver

Answer from: burgoonp

Option 1 , Option 2 and Option 4 are geometric sequence.

Step-by-step explanation:

A sequence is said to be geometric when their exist a common ratio between the consecutive terms.

Option 1) -2.7,-9,-30,-100...

Common ratio= $r = \frac{a_2}{a_1}$

= $\frac{-9}{-2.7}$

= $\frac{10}{3}$

Common ratio= $r = \frac{a_3}{a_2}$

= $\frac{-30}{-9}$

= $\frac{10}{3}$

Common ratio= $r = \frac{a_4}{a_3}$

= $\frac{-100}{-30}$

= $\frac{10}{3}$

Since the common ratios are equal .

Thus -2.7,-9,-30,-100... is a geometric sequence .

Option 2) -1,2.5, -6.25, 15.625 ...

Common ratio= $r = \frac{a_2}{a_1}$

= $\frac{2.5}{-1}$

= $\frac{-5}{2}$

Common ratio= $r = \frac{a_3}{a_2}$

= $\frac{-6.25}{2.5}$

= $\frac{-5}{2}$

Common ratio= $r = \frac{a_4}{a_3}$

= $\frac{15.625}{-6.25}$

= $\frac{-5}{2}$

Since the common ratios are equal .

Thus -1,2.5, -6.25, 15.625 ... is a geometric sequence .

Option 3)9.1,9.2,9.3,9.4....

Common ratio= $r = \frac{a_2}{a_1}$

= $\frac{9.2}{9.1}$

= 1.0109

Common ratio= $r = \frac{a_3}{a_2}$

= $\frac{9.3}{9.2}$

= 1.0108

Common ratio= $r = \frac{a_4}{a_3}$

= $\frac{9.4}{9.3}$

= 1.01075

Since the common ratios are not equal .

Thus 9.1,9.2,9.3,9.4.... is not a geometric sequence .

Option 4) 8,0.8,0.08,0.008 ....

Common ratio= $r = \frac{a_2}{a_1}$

= $\frac{0.8}{8}$

= 0.1

Common ratio= $r = \frac{a_3}{a_2}$

= $\frac{0.08}{0.8}$

= 0.1

Common ratio= $r = \frac{a_4}{a_3}$

= $\frac{0.008}{0.08}$

= 0.1

Since the common ratios are equal .

Thus -18,0.8,0.08,0.008 .... is a geometric sequence .

Option 5) 4,-4,-12,-20...

Common ratio= $r = \frac{a_2}{a_1}$

= $\frac{-4}{4}$

=

Common ratio= $r = \frac{a_3}{a_2}$

= $\frac{-12}{-4}$

=

Common ratio= $r = \frac{a_4}{a_3}$

= $\frac{-20}{-12}$

= $\frac{5}{3}$

Since the common ratios are not equal .

Thus 4,-4,-12,-20... is not a geometric sequence .

ansver

Answer from: Quest

b

step-by-step explanation:

ansver

Answer from: Quest

step-by-step explanation:

Another question on Mathematics

question

Mathematics, 21.06.2019 19:30

What is the slope of the line shown below?

Answers: 2

question

Mathematics, 21.06.2019 22:30

Factor the polynomial by its greatest common monomial factor.

Answers: 1

question

Mathematics, 22.06.2019 00:10

Write the slope intercept equation for line ab.

Answers: 2

question

Mathematics, 22.06.2019 01:00

Calculate the total payback for a $3,500 loan at 8% annual interest with monthly payments for two years. show all of your steps. use the formula, m = pm(1 + m)^na/(1 + m)^na - 1, as needed.

Answers: 1

You know the right answer?

Which sequence are geometric? select three options.
...

Questions

question

English, 17.10.2019 21:30

Which theme does carson mccullers build around the existential issues the main characters face in the heart is a lonely hunter, as revealed through th...

question

History, 17.10.2019 21:30

Which of the following best represents how an increase in exploration led to advancements i ship technology? a. ships were often lost, which me...

question

English, 17.10.2019 21:30

Read the excerpt from dr. martin luther king’s “letter from birmingham jail.” to put it in the terms of st. thomas aquinas: an unjust law is a human...

question

English, 17.10.2019 21:30

Awarding brainliest~~ what is a four letter word that starts with q and ends with s...

question

Mathematics, 17.10.2019 21:30

If a sqaure is 4 times as great as the lenth of any of its sides is it proportional...

question

History, 17.10.2019 21:30

What was required before texas could be annexed by the united states? all the debts texas had acquired had to be paid. both countries had...

question

Health, 17.10.2019 21:30

The primary health concern related to excessive saturated fat intake is...

question

Geography, 17.10.2019 21:30

What comprises two-thirds of botswana's land? a. the mitumba mountains b. the okavango delta c. the kalahari desert d. vi...

question

English, 17.10.2019 21:30

For each of the following sentences, determine whether or not the pronouns were used correctly. if all of the pronouns in the sentence are used correc...

question

Chemistry, 17.10.2019 21:30

Which of the following is a homogeneous mixture...

question

English, 17.10.2019 21:30

What was the originally the purpose of poetry...

question

Biology, 17.10.2019 21:30

What are the benefits and harms of asexual and sexual reproduction....

question

English, 17.10.2019 21:30

What is the difference between sarcasm and verbal irony? sarcasm is funnier than verbal irony. sarcasm is an uncommon form of verbal iron...

question

Chemistry, 17.10.2019 21:30

5. how are compounds different from mixtures?...

question

English, 17.10.2019 21:30

Interpret the analogy. noun: gerund: : adjective: adverb verbal verb participle...

question

English, 17.10.2019 21:30

Read this excerpt from "letter to george iii, 1793" by emperor qian long: our dynasty's majestic virtue has penetrated unto every country...

question

Mathematics, 17.10.2019 21:30

2x + 4(x+3)= 42 i just want to give people some points also i need this answer...

question

History, 17.10.2019 21:30

England's name for the french and indian war...

question

Arts, 17.10.2019 21:30

Art can reflect the ideas and feelings of the artist i'm a way that veiwers can...

question

History, 17.10.2019 21:30

Will give ! which principle states: "geologic processes taking place on earth today operated similarly in the past and can be used to explain past g...

More questions: Mathematics Another questions

Questions on the website: 13722367