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3 years ago

Which sequence isn’t a geometric progression?

Mathematics

1 answer:

AVprozaik [17]3 years ago

4 0

Answer: 3, 6, 9, 12

Step-by-step explanation:

A geometric progression has a common ratio.

2,6, 18 and 54 has a common ratio of 3. When you multiply the first number by 3, you get the second number and the same thing applies to the third number.

1, 5, 25 and 125 has a common ratio of 5. When you multiply the first number by 5, you get the second number and the same thing applies to the third number.

4, 8, 16 and 32 has a common ratio of 2. When you multiply the first number by 2, you get the second number and the same thing applies to the third number.

3, 6, 9 and 12 is an arithmetic progression as 3 is added to each number

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4 years ago

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3 years ago

You invest $2,500 in an account that grows 5% each year. what will be your investment amount after 6 years?

lesantik [10]

Answer: b. $3,374.65

Step-by-step explanation:

The exponential equation of growth (continuously) is given by :-

$y=Ae^{rx}$ , where A is the initial amount, r is the rate of growth ( in decimal) and x is the time period.

Given : You invest $2,500 in an account that grows 5% each year.

i.e. A= $2,500 and r= 5%=0.05

Then, the equation model this situation will be :-

$y=2500e^{0.05x}=2500(1.05)^x$

Now, At x= 6

$y=2500e^{0.05\times6}\\\\\Rightarrow\ y=2500e^{0.3}=3374.64701894\approx3374.65$

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4 0

3 years ago

Sum10and product of 9

AVprozaik [17]

Answer:

$x+ y = 10 ---(1)\\ x\cdot y = 9 ---(2)\\\\from(2) \ y = \frac{9}{x}\\\\substitute \ y \ in (1) \\x + \frac{9}{x} = 10\\\\x^2 + 9 - 10x = 0\\x^2 -10x + 9 = 0\\x^2 -9x -x +9 = 0\\x(x-9)-1(x-9)=0\\(x-1)(x-9)=0\\x = 1 \ or \ 9\\$

substitute x in y = 9/x

=> y = 9 or 1

So the number are 1 and 9 or 9 and 1

6 0

3 years ago

Find the x-intercepts of the quadratic funct<br> f(x) = x2 – 5x – 14

Trava [24]

Answer:

x = - 2, x = 7

Step-by-step explanation:

To find the x- intercepts let f(x) = 0, that is

x² - 5x - 14 = 0 ← in standard form

(x - 7)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 2 = 0 ⇒ x = - 2

7 0

3 years ago