If the geometric series has first term
and common ratio
, then its
-th partial sum is

Multiply both sides by
, then subtract
from
to eliminate all the middle terms and solve for
:



The
-th partial sum for the series of reciprocal terms (denoted by
) can be computed similarly:




We're given that
, and the sum of the first
terms of the series is

and the sum of their reciprocals is

By substitution,

Manipulating the
equation gives

so that substituting again yields

and it follows that

ANSWER PLEASE
A cube of sugar has a mass of 12 grams and a volume of 8 cubic centimeters (cm^3). What is its density? [You may use a calculator.] Choose the BEST answer.
0.67 g/cm^3
0.67
1.5 g/cm^3
1.5
To find if 3 goes int 92
we need to divide 92 by 3
Figure of the division attached
The first part is 3 goes 3 times into 9 leaving remainder 0
We are left with 2 to divide
but since 3<2, we add 0 to the quotient and leave the 2 as the remainder
Hence 3 goes 30 times in 92 leaving a remainder of 2
Answer: a. 279.11meters
b. 2513.27 feet
Step-by-step explanation:
Circumference of a circle= 2πr
where r = radius of the circle.
In the picture, there are t
18 spokes, therefore the angle between any two spokes will be:
360° ÷ 18 = 20°
The arc length traversed by passenger will be= radius of the circle × the angle that is traversed by the passenger
radius = 200 feet.
He has traveled from M to J,that subtends 4 × 20 = 80°
= 80π/180 radian = 4π/9radian
The passenger has therefore traveled:
200 × 4π/9 = 800π/9
= (800×3.14)/9
= 279.11meters
Part B.
Full ride is equivalent to 2 × the circumference of the circle= 2 × 2πr
= 4πr
= 4 × 3.14 × 200
= 2512 feet
So,he would travel 4* 7 * 200 feet = 2513.27 feet
Answer:
do what I would do just answer what ever and if you get it wrong do it until you get it right thats what my momma tell me to do
Step-by-step explanation: