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2 years ago

For the geometric series 1 - 2/3 + 4/9 - 8/27.... find s8

Mathematics

2 answers:

makkiz [27]2 years ago

8 0

Hello,

We have s0 = 1 and q = -2/3

$S _{n} = S _{0} \times q {}^{n} = 1 \times ( - \frac{2}{3} ) {}^{n}$

$S _{8} = ( - \frac{2}{3} ) {}^{8} = \frac{2 {}^{8} }{3 {}^{8} } = \frac{256}{6 561}$

maxonik [38]2 years ago

4 0

Answer:

Step-by-step explanation:

The sum of an alternating geometric series SUM((-1)^n*ar^n) = a/(1+r). The given series has r=2/3 and a=1. The sum will be 1/(1+2/3)= 3/5

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The cones below are similar, although not drawn to scale. What is the length of the radius of cone B?

atroni [7]

5 is 3x less than 15 so you find 3x less than 18 to get 18/3 or 6ft... so your answer is B. Hope this helps

4 0

4 years ago

Draw two identical rectangle. Shade 1 seventh of one rectangle and 1 tenth of the other. Lavel the unit fractions. Use you recta

Bumek [7]

Answer:

1/7 is greater than 1/10 using coordinates and its area of the division concept.

Step-by-step explanation:

We have to draw two identical rectangles and have to shade them.

Here is the diagram attached with.<em> (With some approximation)</em>

We can see that $\frac{1}{7} > \frac{1}{10}$ .

Rectangles are identical.

When we look upon $\frac{1}{10}$ it can be observed that each division on the coordinate plane have 2 boxes only...

Where as $\frac{1}{7}$ fraction consists more than 2 boxes ..

So we can say that the area covered for each division in $\frac{1}{7}$ is more than that of $\frac{1}{10}$ .

Mathematical concept:

If the numerator are same then to compare fractions we look upon denominators values.

Greater the denominator lesser is the fraction values.

So,

Finally we can say that 1/7 is greater than 1/10 .

5 0

3 years ago

If I=square root-1 then i^2=

MrRissso [65]

Answer:

i^−3 = i

i^−2 = −1

i^−1 = −i

i^0 = 1

i^1 = i

i^2 = −1

i^3 = −i

i^4 = 1

i^5 = i

i^ 6 = −1

See the pattern

7 0

3 years ago

Please help me out!!!!!!!! :)

Alika [10]

Answer:

First we have to calculate z

z + 69° = 180°

z = 180° - 69° = 111°

Now that we have 2 out of 3 angle already, we can easily calculate x which is the measurement of the third angle we are looking for:

23° + 111° + x = 180°

x = 180° - 23° - 111°

x = 46°

6 0

3 years ago

Please help I dont understand!!

kakasveta [241]

Answer:

the answer is 1254739

Step-by-step explanation:

you add 1244 and 727 together and thats how you get the correct answer

7 0

3 years ago