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3 years ago

Picking a multiple of 5 from the integers between 1 and 40

Mathematics

1 answer:

Scilla [17]3 years ago

3 0

Multiples of 5 end in 5 or 0 this would mean
5,10,15,20,25,30,35,40 are all multiples of 5

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What is the sum of the first 6 terms of this geometric sequence? –4, –16, –64, –256, …

MatroZZZ [7]

$a_1=-4;\ a_2=-16;\ a_3=-64;\ a_4=-256;\ ...\\\\r=\dfrac{a_{n+1}}{a_n}\to r=\dfrac{a_2}{a_1}\to r=\dfrac{-16}{-4}=4$

The formula of the sum of a geometric sequence:

$S_n=a_1\cdot\dfrac{1-r^n}{1-r}$

We have:

$a_1=-4;\ n=6;\ r=4$

substitute:

$S_6=-4\cdot\dfrac{1-4^6}{1-4}=-4\cdot\dfrac{1-4096}{-3}=-4\cdot\dfrac{-4095}{-3}=-4\cdot1365=-5460$

Answer: C. -5460

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3 years ago

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sineoko [7]

Answer:

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2 years ago

The container that holds the water for the football team is 4/9 full. After pouring in 4

Natasha2012 [34]

Answer: 18 gallons.

Step-by-step explanation:

Let's call the total gallons that the container can hold x.

Then, based on the information given in the problem, you can write the following expression:

$\frac{4}{9}x+4=\frac{2}{3}x$

Now, you must solve for x, as you can see below. Therefore, you obtain the following result:

$\frac{4}{9}x+4=\frac{2}{3}x\\\\4=\frac{2}{3}x-\frac{4}{9}x\\\\4=\frac{2}{9}x\\\\4*9=2x\\\\36=2x\\\\x=18\ gallons$

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Drupady [299]

Answer: A

Step-by-step explanation:

because i did a quiz with the same and i got it right

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3 years ago

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neonofarm [45]

Answer:

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Step-by-step explanation:

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2 years ago