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3 years ago

Find the commom ratio for the following sequence 1/2, -1/4, 1/8, -1/16

Mathematics

1 answer:

alexgriva [62]3 years ago

6 0

Answer:

Common ratio = -1\2

Step-by-step explanation:

Common ratio is referred to as the ratio by which the sequence is attaining its next value.

In a sequence say, a_1,a_2,a_3...a_n the common ratio is calculated by :

$\frac{a_2}{a_1} , \frac{a_3}{a_2}$

In The sequence given here : a_1 =1, a_2= -1\4 , a_3 = 1\8 , a_4= -1\16

Common ratio (r) = $\frac{\frac{-1}{4} }{\frac{1}{2} } = \frac{-1}{2}$

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The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t3 + 0.5t2 + 9t + 4. Find S'(t).

o-na [289]

Answer:

S'(t) = 0.09t^2 + t + 9

S(2) = 24.24

S'(2) = 11.36

S(11) = 203.43 means that the sales of the company 11 months from now is $203,430,000.

S'(11) = 30.89 means that, 11 months from now, the rate at which sales change is $30,890,000 per month

Step-by-step explanation:

The derivate of the sales function S'(t) , which is the rate at which sales vary with time in months, is:

$\frac{dS(t)}{dt} =S'(t) = 0.09t^2 + t + 9$

S(2) is found by applying t=2 to S(t):

$S(2) = 0.03*(2^3) + 0.5*(2^2) + 9*2 + 4\\S(2)= 24.24$

S'(2) is found by applying t=2 to S'(t):

$S'(2) = 0.09*(2^2) + 2 + 9\\S'(2) = 11.36$

Since the sales function gives the amount of sales in millions of dollars,

S(11) = 203.43 means that the sales of the company 11 months from now is $203,430,000.

S'(t) represents the rate of change in sales in millions of dollars per month.

S'(11) = 30.89 means that, 11 months from now, the rate at which sales change is $30,890,000 per month

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What is the solution set of the inequality x5 + x4 - 6x3 + x2 + x - 6 ≥ 0?

Ainat [17]

The answer is C

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A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre o

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Answer:

Step-by-step explanation:

So to find how much sheep there were on each acre, you divide.

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Ksenya-84 [330]

Answer:

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Step-by-step explanation:

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