2 years ago

Find the volume in cubic inches H-12 in. L-8 in. W-5in.

Mathematics

1 answer:

schepotkina [342]2 years ago

6 0

Answer:

480 $in^3$

Step-by-step explanation:

Volume of a Rectangular Prism = L x W x H

12 x 8 x 5 = 96 x 5 = 480

480 in^3

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3 years ago

Read 2 more answers

(b) If a series follows geometric progression, show that the ratio of the sum of term to the sum from (n+1) term to (2n) term is

Nadusha1986 [10]

Proof with explanation:

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$S_{n}=\frac{a(1-r^{n})}{1-r}$

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a = first term of G.P

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'n' is the number of terms

Thus the sum of 'n' terms is

$S_{n}=\frac{a(1-r^{n})}{1-r}$

Now the sum of first '2n' terms is

$S_{2n}=\frac{a(1-r^{2n})}{1-r}$

Now the sum of terms from $(n+1)^{th}$ to $(2n)^{th}$ term is $S_{2n}-S_{n}$

Thus the ratio becomes

$\frac{S_{n}}{S_{2n}-S_{n}}\\\\=\frac{\frac{a(1-r^{n})}{1-r}}{\frac{a(1-r^{2n})}{1-r}-\frac{a(1-r^{n})}{1-r}}\\\\=\frac{1-r^{n}}{r^{n}-r^{2n}}\\\\=\frac{1-r^{n}}{r^{n}(1-r^{n})}\\\\=\frac{1}{r^{n}}$

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2 years ago