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enot [183]
3 years ago
10

What is the 8th term in the geometric sequence described by this explicit

Mathematics
1 answer:
valentina_108 [34]3 years ago
8 0

Answer:

The 8th term in the geometric sequence described by this explicit formula is 384.

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25 10^6 in standard form
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Answer:

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Answer in scientific notation?
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The answer is:  45 * 10 ⁻¹¹ .
___________________________________________

Explanation:
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Given:   (9 * 10⁻⁵) * (5 *10 ⁻⁶) ;   Simplify.
____________________________________________
 (9 * 10⁻⁵) * (5 *10⁻⁶)  =

9 * 5 * 10⁻⁵ * 10⁻⁶ = 

(9 * 5) * 10⁻⁵ * 10⁻⁶ 

45 * 10⁻⁵ * 10⁻⁶  ;   
______________________________________
Note the following property of exponents:

xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ ;

As such, 10⁻⁵ * 10⁻⁶ = 10⁽⁻⁵ ⁺ ⁻⁶) = 10 ⁻¹¹ ;
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So;  45 * 10⁻⁵ * 10⁻⁶ 

           =  45 * 10⁻¹¹ .
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Whats the formula of an rectangle
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