All categories

3 years ago

What is the common ratio in the following geometric sequence?

Mathematics

1 answer:

sesenic [268]3 years ago

7 0

Answer:

Correct answer: q = 4

Step-by-step explanation:

Given:

3, 12, 48, 192, .....

First term b₁ = 3

Second term b₂ = 12

Third term b₃ = 48

Fourth term b₄ = 192

Common ratio or quotient is:

q = b₂ / b₁ = b₃ / b₂ = 12 / 3 = 48 / 12 = 4

q = 4

God is with you!!!

You might be interested in

What is the volume of the rectangular prims ?

tangare [24]

They are all different sizes.

8 0

3 years ago

There is one pizza and two people are gonna spilt it in half. How would you convert one half into a fraction, decimal and percen

fiasKO [112]

Answer:

fraction - 1/2 decimal - 0.5 percent - 50%

Step-by-step explanation:

7 0

3 years ago

Pleaassssssssssssse find x

liberstina [14]

Your answer will be 18. Hope this helps!

5 0

3 years ago

AP3X Please urgent..

sergey [27]

The Answer Is D. Hope This Was Helpful!

5 0

3 years ago

Read 2 more answers

If f(x)f(x) is an exponential function where f(1.5)=5f(1.5)=5 and f(7.5)=79f(7.5)=79, then find the value of f(3)f(3), to the ne

stiv31 [10]

Answer: $7.93$

Step-by-step explanation:

Given

$f(x)$ is an exponential function. Suppose $f(x)$ is $ae^{bx}$

$f(1.5)=5\ \text{and}\ f(7.5)=79$

$\Rightarrow 5=ae^{1.5b}\\\Rightarrow \ln 5=\ln a-1.5b\quad \ldots(i)$

Similarly,

$\Rightarrow 79=ae^{7.5b}\\\Rightarrow \ln(79)=\ln a+7.5b\quad \ldots(ii)$

Subtract (i) and (ii)

$\Rightarrow \ln (79)-\ln (5)=9b\\\Rightarrow \ln (\frac{79}{5})=9b\\\\\Rightarrow b=\dfrac{\ln (\frac{79}{5})}{9}\\\\\Rightarrow b=0.3066$

Insert the value of $b$

$\Rightarrow 5=ae^{0.46}\\\Rightarrow a=5\times 0.6312\\\Rightarrow a=3.156\approx 3.16$

So, the function becomes

$\Rightarrow f(x)=3.16e^{0.3066b}$

$\Rightarrow f(3)=3.16e^{0.3066\times 3}\\\Rightarrow f(3)=7.927\approx 7.93$

4 0

3 years ago

Read 2 more answers