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3 years ago

Evaluate the root without using a calculator, or note that the root isn't a real number.

Mathematics

1 answer:

valentina_108 [34]3 years ago

3 0

9514 1404 393

Answer:

A. 2

Step-by-step explanation:

When you don't know if a number like 256 is a power of anything, it can work reasonably well to start by simply dividing by the factors you know.

256/2 = 128
128/2 = 64
64/2 = 32
32/2 = 16
16 = 2^4, so 256 = 2^4 · 2 · 2 · 2 · 2 = 2^8

The 8th root of 2^8 is 2, choice A.

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3 years ago

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2 years ago

Find the 53rd term of the arithmetic sequence<br> 27,11, -5

vivado [14]

Answer:

The 53rd term of this arithmetic sequence is -805.

Step-by-step explanation:

The general rule of an arithmetic sequence is the following:

$a_{n+1} = a_{n} + d$

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To find the nth term of the sequence, this equation can be written as:

$a_{n} = a_{1} + (n-1)d$

27,11, -5

So $a_{1} = 27, a_{2} - a_{1} = 11 - 27 = -16[/tex[tex]a_{n} = a_{1} + (n-1)d$

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The 53rd term of this arithmetic sequence is -805.

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