All categories

1 year ago

What is the sum of the first six terms of the geometric series? 2 – 6 18 – 54 ...

Mathematics

1 answer:

Law Incorporation [45]1 year ago

6 0

The sum of the first six terms of the geometric series is -364.

A geometric series is a sequence of terms in a fixed common ratio.

Apparently, the expression "geometric progression" comes from the "geometric mean" (Euclidean term) of segments of lengths a and b: it is the length of the side c of a square whose area is equal to the area of the rectangle. a and b. May

The series given is

2 – 6 + 18 – 54 + ...

The sum of n terms of a geometric series is given by

Sn=a1 * 1 - rn/1 - r

here the first term is 2

r = -6 /2 = -3

S = 2 (1-(-3)⁶)/(1-(-3))

S = -364

Therefore the sum of the First six terms of the geometric series is -364 .

Learn more about geometric series here:brainly.com/question/24643676

#SPJ4

You might be interested in

4) A safe contains 120 coins, the value of which is $10. If the coins consist of nickels and dimes, how many of each kind are in

alexandr1967 [171]

There are 40 nickels and 80 dimes

8 0

2 years ago

I need help again please!!

ivann1987 [24]

Answer c because .10 x 40 equals 4 plus 2

3 0

2 years ago

Read 2 more answers

Please help with this question!! I need serious help!!

asambeis [7]

Answer:

<h2>The circumference is multipled by 4.</h2>

Step-by-step explanation:

The formula of an area of a circle"

$A=\pi r^2$

The formula of a circumference of a circle:

$C=2\pi r$

The area multipled by 16:

$16A=16\pi r^2\\\\16A=\pi(4^2r^2)\\\\16A=\pi(4r)^2$

The radius has increased fourfold, therefore:

$C'=2\pi(4r)=4(2\pi r)=4C$

The circumference is multipled by 4.

You can calculate the area and check the circumference:

$r=11.6\ in\\\\A=\pi(11.6)^2=132.56\pi\\\\16A=(16)(134.56\pi)=2152.96\pi\ in^2$

Calculate the radius:

$\pi r^2=2152.96\pi$ <em>divide both sides by π</em>

$r^2=2152.96\to r=\sqrt{2152.96}\\\\r=46.4\ in$

Calculate the circumference of both circles:

$r=11.6\ in\\\\C=2\pi(11.6)=23.2\pi\ in$

$r=46.4\ in\\\\C'=2\pi(46.4)=92.8\pi\ in$

$\dfrac{C'}{C}=\dfrac{92.8\pi}{23.2\pi}=4\to C'=4C$

5 0

2 years ago

A box contains 4 red marbles, 8 blue marbles, and 2 white marbles. The marbles are selected at random, one at a time, and are no

vlada-n [284]

Answer:

Step-by-step explanation:

multiply 4 and 8 and 2 together to get 64

8 0

2 years ago

Read 2 more answers

What is the answer to: 9^-2x^-1y^0x

IrinaVladis [17]

If u wrote 9 to the power of - 2 and x to the power of - 1 and y to the power of 0 and write the x at then end it would end up a fraction of 1/81 but I'm not sure what u want like multiply?

8 0

2 years ago