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2 years ago

Simplify The Following

Mathematics

1 answer:

shusha [124]2 years ago

6 0

Answer:

i think this would help

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Please help right away.

Travka [436]

$\sum\limits_{k=1}^{\infty}420\left(\dfrac{1}{6}\right)^{k-1}$

The infinite geometric series is converges if |r| < 1.

We have r=1/6 < 1, therefore our infinite geometric series is converges.

The sum S of an infinite geometric series with |r| < 1 is given by the formula :

$S=\dfrac{a_1}{1-r}$

We have:

$a_1=420\left(\dfrac{1}{6}\right)^{1-1}=420\left(\dfrac{1}{6}\right)^0=420\\\\r=\dfrac{1}{6}$

substitute:

$S=\dfrac{420}{1-\frac{1}{6}}=\dfrac{420}{\frac{5}{6}}=420\cdot\dfrac{6}{5}=84\cdot6=504$

Answer: d. Converges, 504.

8 0

3 years ago

Which expression is equivalent to 2(3x − 1.75) − 3(1.5x − 2.5)?

lara [203]

Answer:

1.5x+4

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Which statement about the graph of f(x)=e^x is true?Please Help

Elina [12.6K]

It does not crosses any axises. 3rd case is true. I passes through the point 1, e

4 0

3 years ago

What is the fraction as a mixed number 14/2

slava [35]

7. is the answer to your question

5 0

3 years ago

Given that F(x) = x 2 + 2, evaluate F(1) + F(5) <br> which is the answer? 38 30 15

Valentin [98]

your answer is 30

1^2 (raised to the power of 2) +2 is 3

5^2 +2 is 27

5^2=25

1^2=1

add 27+3=30

6 0

3 years ago

Simplify The Following​

Simplify The Following