Ask question

Ask question

All categories

Alenkasestr [34]

3 years ago

13

Can any body here prove that 1-1+1-1+1-1+1-1.........=1/2 And What is known as this series?

1 answer:

Rina8888 [55]3 years ago

7 0

Answer:

This is known as grandi's series, the proof is in the explanation

Step-by-step explanation:

grandi's series, $S_G$ is given by = 1-1+1-1+1-1+1-1...

1 - $S_G$ = 1 - (1-1+1-1+1-1+1-1) = 1-1+1-1+1-1+1-1 = $S_G$

1- $S_G$ = $S_G$

$S_G$ + $S_G$ = 1

2 $S_G$ = 1

$S_G$ = 1/2

You might be interested in

A restaurant uses 4.375 pounds of cheese for every pizzas. At this rate, how many pounds of cheese are used per pizza?

faltersainse [42]

<em><u>Complete Question:</u></em>

A restaurant uses 4.375 pounds of cheese every 8 and 3/4 pizzas. At this rate how many pounds of cheese are used per pizza?

<em><u>Answer:</u></em>

0.5 pounds of cheese are used per pizza

<em><u>Solution:</u></em>

Given that,

A restaurant uses 4.375 pounds of cheese every 8 and 3/4 pizzas

Therefore,

$4.375\ pounds = 8\frac{3}{4}\ pizza \\\\4.375\ pounds = \frac{35}{4}\ pizza$

We have to find pounds used per pizza

Let "x" be the pounds used per pizza

Then,

$4.375\ pounds = \frac{35}{4}\ pizza \\\\x\ pounds = 1\ pizza$

By cross multiplying,

$4.375 \times 1 = x \times \frac{35}{4} \\\\x = 0.5$

Thus, 0.5 pounds of cheese are used per pizza

8 0

3 years ago

Hey if anyone could help me with this it would be a big help!

Katyanochek1 [597]

c is the answer i hope this help

7 0

2 years ago

Read 2 more answers

What divisor is represented by the synthetic division below? –5 5 x + 5 x – 5

Tju [1.3M]

For this case, the dividend is given by:
$2x ^ 3 + 10x ^ 2 + x + 5
$
We note that the following numbers:
2, 10, 1, 5
They are the coefficients of the polynomial and they are in the upper part of the division.
The number -5 is the opposite value of the divisor constant.
Therefore, the divisor is given by:
x + 5
Answer:
The divisor is:
x + 5

4 0

3 years ago

Read 2 more answers

Juan ordered 20 pizzas for a party. 45% of the pizzas have 8 slices each. The remaining 55% of the pizzas have 12 slices each. C

Mama L [17]

Total number of pizzas Juan ordered $20$

Since, $45\%$ of pizzas have $8$ slices.

Therefore, number of pizzas with $8$ slices are: $45\%\times(20)$

$=\frac{45}{100} \times(20)$

$=\frac{45}{10} \times(2)$

$=\frac{90}{10}$

$=9$ pizzas

Also, since, $55\%$ of pizzas have $12$ slices.

Therefore, number of pizzas with $12$ slices are: $55\%\times(20)$

$=\frac{55}{100} \times(20)$

$=\frac{55}{10} \times(2)$

$=\frac{110}{10}$

$=11$ pizzas

Now, there are $9$ pizzas with $8$ slices and $11$ pizzas with $12$ slices.

Therefore, total number of slices of pizza are: $=(9)(8)+(11)(12)$

$=72+132$

$=204$ slices

5 0

3 years ago

Let f (x) = -3x + 4. Describe the transformations from the graph of f to the graphs of g(x) = f (x) + 3 and h(x) = f (x - 2).

iris [78.8K]

Answer:

Answer:

g(x)=-6/5x+1/2

h(x)=-6/5x-1/2

Step-by-step explanation:

1). g(x)=−f(x) ?

f(x)=6/5x−1/2

g(x)=−(6/5x−1/2)

g(x)=-6/5x+1/2

2). h(x)=f(−x) ?

f(-x)=6/5(-x)−1/2

f(-x)=-6/5x-1/2

h(x)=-6/5x-1/2

Step-by-step explanation:

5 0

2 years ago