What is compounding

Mathematics

1 answer:

xenn [34]2 years ago

3 0

verb

gerund or present participle: compounding

/kəmˈpound,ˈkämˌpound/

make up (a composite whole); constitute.

"a dialect compounded of Spanish and Dutch"

synonyms: be composed of, be made up of, be constituted of, be formed from

"a smell compounded of dust and mold"

make (something bad) worse; intensify the negative aspects of.

"I compounded the problem by trying to make wrong things right"

synonyms: aggravate, worsen, make worse, add to, augment, exacerbate, intensify, heighten, increase, magnify;

Step-by-step explanation:

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Use Gauss's approach to find the following sums (do not use formulas). 1+3+5+7+...999

muminat

$S=1+3+5+\cdots+995+997+999$
$S=999+997+995+\cdots+5+3+1$
$\implies 2S=(1+999)+(3+997)+(5+995)+\cdots+(995+5)+(997+3)+(999+1)$

$2S=\underbrace{1000+1000+\cdots+1000+1000}_{500\text{ times}}$

(We are adding 500 instances of 1000 because that's how many odd numbers there are between 1 and 1000, inclusive.)

$2S=500\times1000=500000$
$\implies S=250000$

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