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3 years ago

Help me someone!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Julli [10]3 years ago

7 0

Substitute answers in, a = 3 and b = 2.

(3^2 - 2^2)/(3+2)
= (9-4)/5
= 5/5
= 1

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umka21 [38]

Step-by-step explanation:

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For the following telescoping series, find a formula for the nth term of the sequence of partial sums

gtnhenbr [62]

I'm guessing the sum is supposed to be

$\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}$

Split the summand into partial fractions:

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This means

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$S_n=2\left(\dfrac14-\dfrac19\right)+2\left(\dfrac19-\dfrac1{14}\right)+2\left(\dfrac1{14}-\dfrac1{19}\right)+\cdots+2\left(\dfrac1{5n-1}-\dfrac1{5n+4}\right)$

The sum telescopes so that

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and as $n\to\infty$ , the second term vanishes and leaves us with

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taurus [48]

Hi there!

Great question! 0.06 is actually SMALLER than 1.

Why?

Because 0.06 is almost half of the whole number. Half of 1 is 0.5, which is larger than 0.06.

Half is smaller than whole, so, therefore, 1 is larger.

Hope this helps!

Message me if you need anything else! I'd be happy to help! :D

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