Answer:
thxxxxx
Step-by-step explanation:
:)
Answer:
Explicit
Step-by-step explanation:
Given
Required
Explicit or Recursive; which is easier
The explicit form is easier.
Take for instance, the explicit form of the sequence is:
And the recursive form is:
To find in
You simply substitute 50 for n and then solve for
Which gives:
The case is different in:
First, you substitute 50 for n
Next, you need to calculate a49.
This action continues until you get to a1
Then you evaluate the corresponding expressions from a1 to a49 before you get a50.
<em>Hence, the explicit form is easier.</em>
The answer is: " <span>1.045 * 10¹⁰ " .</span>
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Explanation:
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"5.5 million = 5,500,000 = 5.5 * 10 ⁶ " ;
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"1.9 thousand = 1,900 = 1.9 * 10³ " ;
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So; "<span>5.5 million * 1.9 thousand" ;
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= (</span>5.5 * 10 ⁶) * (1.9 * 10³) = 5.5 * 10⁶ * 1.9 * 10³ ;
= 5.5 * 1.9 * 10⁶ * 10³ ;
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Note the following properties of exponents:
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xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ ;
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As such, " 10⁶ * 10³ = 10⁽ ⁶ ⁺ ³⁾ = 10⁹ " ;
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So; rewrite:
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5.5 * 1.9 * 10⁶ * 10³ ;
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= 5.5 * 1.9 * 10⁹ ;
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5.5 * 1.9 = 10.45 ;
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Rewrite as: " 10.45 * 10⁹ " ;
In scientific notation, we need to rewrite as an single digit integer, followed by a decimal and other values (if applicable); following by * 10 raised to the appropriately adjusted exponential power.
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As such, we write the value as:
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" 1.045 * 10¹⁰ " .
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I just learned a short time ago how to convert a repeating decimal to a fraction.
-- Take the repeating part of the decimal. In this one, it's '764' .
-- Make a fraction out of it by writing it over the same number of 9s.
The fraction here is 764/999 .
-- Simplify it if possible and if you feel like it.
764/999 can't be simplified. (I think.)
So the rational expressions for this decimal are
(5 and 764/999) or 5759/999 .