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2 years ago

Question 14

Mathematics

2 answers:

sergey [27]2 years ago

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Answer:

Step-by-step explanation:

Andrews [41]2 years ago

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Find S^20 if the series 1 + 1.1 ..... is a (a) arithmetic (b) geometric

quester [9]

I'm guessing S^20 is actually referring to the 20th partial sum $S_{20}$ , with

$S_{20}=1+(1+1\times0.1)+(1+2\times0.1)+\cdots+(1+18\times0.1)+(1+19\times0.1)$

in the arithmetic case, and

$S_{20}=1+1.1+1.1^2+\cdots+1.1^{18}+1.1^{19}$

in the geometric case.

(a) Combining like terms, we have

$S_{20}=20+0.1(1+2+\cdots+18+19)$

and invoking the formula

$1+2+\cdots+(n-1)+n=\dfrac{n(n+1)}2$

we end up with

$S_{20}=20+0.1\dfrac{19\times20}2=39$

(b) Multiply $S_{20}$ by 1.1, then subtract this from $S_{20}$ :

$1.1S_{20}=1.1+1.1^2+1.1^3+\cdots+1.1^{19}+1.1^{20}$

$S_{20}-1.1S_{20}=-0.1S_{20}=1-1.1^{20}$
$\implies S_{20}=\dfrac{1.1^{20}-1}{0.1}\approx57.275$

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2 years ago

Santiago collects 435 cents in nickels.how many nickels does he collect?

Marianna [84]

He has 87 nickels (divide 435 by 5).

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2 years ago

Can someone please help me?

Dima020 [189]

The answer to the first one is 72.

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2 years ago

Select the number of punctuation error. Immediately –1 even before I could stop the water,2 another leak occurred,3 and water gu

ozzi

Answer:

Step-by-step explanation:

Select the number of punctuation error. Immediately even before I could stop the water, another leak occurred, and water gushed onto the, kitchen floor. A. 1 B. 2 C. 3 D. 4

3. There doesn't need to be a comma after 'the'.

The is a determiner or an article. We don't typically put commas after articles.

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3 years ago

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Please help me with 25-29!!

vredina [299]

25-29 ok so first do 9-5 equals 4

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