3 years ago

Find the sum of the following series. Round to the nearest hundredth if necessary.

Mathematics

1 answer:

e-lub [12.9K]3 years ago

8 0

Answer:

11,184,808

Step-by-step explanation:

The n-th term of a geometric series is ...

an = a1·r^(n-1)

To fill in the formula, we need a1·r^n, so need to multiply the last term shown by r.

The value of r is 32/8 = 4, and the other terms of interest are a1 = 8, a1·r^(n-1) = 8388608. So, the sum is ...

$S_n=\dfrac{ra_1r^{n-1}-a_1}{r-1}=\dfrac{4\cdot 8,388,608-8}{4-1}=11,184,808$

You might be interested in

What is the solution set of this problem? 9x 4=5 5x?

trasher [3.6K]

Is this 9x+4=5+5x or is it 9x•4=5•5x?

5 0

3 years ago

Please ignore this. It was a mistake.

Rina8888 [55]

Answer:

#ignores

Step-by-step explanation:

#letsallignore

7 0

2 years ago

Read 2 more answers

A submarine changes its position by −7 meters every second. What is the change in the submarine's position after 300 seconds?

Hoochie [10]

If you take -7*300 is should equal -2100

5 0

3 years ago

Read 2 more answers

Without using logarithm tables, find the value of x given that: 2log2/3 = 1/2logx - log 18 + log 16

sweet-ann [11.9K]

Answer:

$x=\frac{1}{4}$

Step-by-step explanation:

Given:

$2log(\frac{2}{3})=\frac{1}{2}log(x)-log(18)+log(16)$

Use the Power Rule Law:

$log(\frac{2}{3}^2)=log(x^{1/2})+log(16)-log(18)$

Use the Quotient Rule Law:

$log(\frac{4}{9})=log(\sqrt{x})+log(\frac{16}{18})$

Use the Product Rule Law:

$log(\frac{4}{9})=log(\frac{16\sqrt{x}}{18})$

Simplify:

$log(\frac{4}{9})=log(\frac{8\sqrt{x}}{9})$

$\frac{4}{9}=\frac{8\sqrt{x}}{9}$

$4=8\sqrt{x}$

$\frac{4}{8}=\sqrt{x}$

$\frac{1}{2}=\sqrt{x}$

$\frac{1}{4}=x$

5 0

2 years ago

HELP ASAP!! Which representation shows y as a function of x ?

Marat540 [252]

Answer:

It is the first answer

Step-by-step explanation:

For it to be considered a function, each x-value can only corresponds (have) one y-value, however, y-values (even if they are the same y-value) can have multiple different x-values.

6 0

3 years ago