3 years ago

Common ratio of 135,45, 15, 5,

Mathematics

1 answer:

olchik [2.2K]3 years ago

4 0

9514 1404 393

Answer:

1/3

Step-by-step explanation:

If the ratio is common, you can choose any successive numbers to compute it. Smaller numbers may be more familiar. The ratio is ...

5/15 = 1/3

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The equivalent expression for (x + 4)^5 is $x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

The expression is given as:

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To expand the expression, we make use of Pascal triangle, where:

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So, we have:

$(x + 4)^5 = 1 * x^5 * 4^0 + 5 * x^4 * 4^1 + 10 * x^3 * 4^2 + 10 * x^2 * 4^3 + 5 * x * 4^4 + 1 * x^0 * 4^5$

Evaluate the exponents

$(x + 4)^5 = 1 * x^5 * 1 + 5 * x^4 * 4 + 10 * x^3 * 16 + 10 * x^2 * 64 + 5 * x * 256 + 1 *1 * 1024$

Evaluate the products

$(x + 4)^5 = x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

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