The difference of the reciprocals of two successive integers equals the product of their reciprocals

Mathematics

1 answer:

sergey [27]2 years ago

5 0

Answer:

see below

Step-by-step explanation:

1 1

--- - --------

n n+1

Get a common denominator

1(n+1) 1(n)

---------- - --------

n(n+1) (n+1)n

n+1 - n

-----------------

n(n+1)

-----------------

n(n+1)

Separate into two fractions

1 1

---- * ------

n n+1

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Step-by-step explanation:

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Answer:

Part a) The volume of the original pyramid is $15\ cm^{3}$

Part b) The volume of the pyramid increases by $6\ cm^{3}$

Step-by-step explanation:

<u><em>The complete question is</em></u>

Part 1) The volume of the pyramid shown in the figure is 9,15,21, or 63 cubic centimeters?. Part 2) If the slant height of the pyramid increases by 4 centimeters and its height increases by 2 centimeters, the volume of the pyramid increases by 6,9,12 or 21 cubic centimeters?

we know that

The volume of the pyramid is equal to

$V=\frac{1}{3}Bh$