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patriot [66]
3 years ago
5

Given the sequence rn defined recursively below, find r3. r1rn=2=−rn−1+n−2

Mathematics
1 answer:
kifflom [539]3 years ago
7 0

Answer:

r_3=3

Step-by-step explanation:

Given:

r_1=2\\r_n=-r_{n-1}+n-2

We want to find the value of r_3 .

\\r_2=-r_{2-1}+2-2\\r_2=-r_1\\r_2=-2\\\\r_3=-r_{3-1}+3-2\\r_3=-r_{2}+1\\r_3=-(-2)+1\\r_3=2+1\\r_3=3

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Step-by-step explanation:

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If coal is mined at $35.99 per short ton, how much is the price per kg? Use dimensional analysis to solve. 1 short ton = 907 kg.
cricket20 [7]

The cost of 1kg of coal mined from the ore is $0.0397

Data;

  • 1 ton = $35.99
  • 1kg = ?

<h3>The Cost of 1kg of Coal</h3>

To find the cost of 1kg of coal, we can simply and equate 1 ton to its equivalent in ton and the solve.

1ton = 907kg\\

let's write this and equate it

1 ton = $35.99

907kg = $35.99

1kg = x

Let's cross multiply both sides and solve for x

907kg = \$35.99\\1kg = x\\x = \frac{1 * 35.99}{907} \\x = \$0.0397

The cost of 1kg of coal is $0.0397

Learn more on proportions here;

brainly.com/question/870035

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