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Ber [7]
3 years ago
6

Find four numbers that form a geometric progression such that the third term is greater than the first by 12 and the fourth is g

reater than the second by 36. Answer:
Mathematics
1 answer:
olchik [2.2K]3 years ago
4 0

If x is the first number in the progression, and r is the common ratio between consecutive terms, then the first four terms in the progression are

\{x,xr,xr^2,xr^3\}

We want to have

\begin{cases}xr^2-x=12\\xr^3-xr=36\end{cases}

In the second equation, we have

xr^3-xr=xr(r^2-1)=36

and in the first, we have

xr^2-x=x(r^2-1)=12

Substituting this into the second equation, we find

xr(r^2-1)=12r=36\implies r=3

So now we have

\begin{cases}9x-x=12\\27x-3x=36\end{cases}\implies x=\dfrac32

Then the four numbers are

\left\{\dfrac32,\dfrac92,\dfrac{27}2,\dfrac{81}2\right\}

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Step-by-step explanation:

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3 years ago
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Dmitrij [34]

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7 0
3 years ago
Read 2 more answers
How do I do #1 ? Help!!
juin [17]

1) First find the multiplier.

Look at the 0 and 1st term you have 5 as the 0 and 3 as the 1st term.

2)Ask how do we get from 5 to 3?

  • We subtract 2 so the multiplier is -2

3)Lets make a linear equation: y=mx +b

  • m= multiplier or slope
  • x= Just equals x value
  • b= your starting value or the 0 term which is 5

4)Use the values that you have to create your equation.

  • y=-2x +5

Note:For the x value just plug in the x value from your table.

Ex.

  • y=-2(-10)+5
  • y=20+5
  • y=25

5 0
3 years ago
Find the common difference of the arithmetic sequence - 11,-16, -21, ...<br> ?<br> Answer.
saveliy_v [14]

Answer:-26 is the next number

Step-by-step explanation:you just -5

6 0
2 years ago
Find the ratio of 500 paise to rs.20​
docker41 [41]

We know that 100paise=1 rupee

=>500 paise = 5 rs

ratio =5/20=1/4=1:4

hope it helps :)

plz mark as brainliest

5 0
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