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3 years ago

Find the sum of the first 10 terms of the following sequence. Round to the nearest

Mathematics

1 answer:

telo118 [61]3 years ago

5 0

Answer:

S_n = 99.18

Step-by-step explanation:

The series is;

200, -160, 128...

Now,the common ration would be gotten by dividing two consecutive terms i.e. a2/a1, a3/a2, a4/a3 e.t.c.

Now,

r = -160/200

r = -4/5

Formula for sum of geometric series is;

S_n = a1(1 - rⁿ)/(1 - r)

Where a1 is the first term and n is the number of terms in the series.

In this case;

a1 = 200

n = 10

Thus;

S_n = 200(1 - (-4/5)^(10))/(1 - (-4/5))

S_n = 99.18

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Furkat [3]

Answer :- 

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Step-by-step explanation:

[ Refer to the attachment for steps ]

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3 years ago

At a particular restaurant, each onion ring has 65 calories and each slider has 250 calories. A combination meal with onion ring

andre [41]

Answer:

The number of onion rings is 3 in the combination meal and the number of sliders is 2 in the combination meal.

Step-by-step explanation:

Given:

At a particular restaurant, each onion ring has 65 calories and each slider has 250 calories. A combination meal with onion rings and sliders has a total of 5 onion rings and sliders altogether and contains 695 calories.

Now, to find the number of onion rings in the combination meal and the number of sliders in the combination meal.

Let the number of onion rings in the combination meal be $x.$

And let the number of sliders in the combination meal be $y.$

So, the total number of onion rings and sliders are:

$x+y=5\\\\y=5-x\ \ \ .....(1)$

Now, the total number of calories each onion rings and sliders has:

$x(65)+y(250)=695$

Substituting the value of $y$ from equation (1) we get:

$x(65)+(5-x)(250)=695\\\\65x+1250-250x=695\\\\1250-185x=695$

Subtracting both sides by 1250 we get:

$-185x=-555$

Dividing both sides by -185 we get:

$x=3.$

The number of onion rings in the combination meal = 3.

Now, substituting the value of $x$ in equation (1) we get:

$y=5-x\\\\y=5-3\\\\y=2.$

The number of sliders in the combination meal = 2.

Hence, the number of onion rings is 3 in the combination meal and the number of sliders is 2 in the combination meal.

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3 years ago

How many places do you need to move the decimal to the left to write the number below in scientific notation? 60000000000

garik1379 [7]

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2 years ago

Find the constant of proportionality that creates a direct proportion between x and y,

Fofino [41]

Answer:

y=x

Step-by-step explanation:

Something that would create a direct proportionality is y=x because both of them are in an equation which means they are directly proportional

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3 years ago

Julie needs to cut 4 pieces of yam, each with the same length, and a piece of yarn 7.75 inches long. Let x represent the

Lapatulllka [165]

Answer:

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3 years ago