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Shalnov [3]
2 years ago
8

Continuing the pattern, what do the following terms equal?

Mathematics
1 answer:
rodikova [14]2 years ago
4 0

The series formed by using exponential property we get : \frac{1}{2} , \frac{1}{4} , \frac{1}{8} ,\frac{1}{16} ,\frac{1}{32} ,\frac{1}{64} ,\frac{1}{128} ,\frac{1}{256} ,\frac{1}{512} ,\frac{1}{1024} .

What is Exponential Property?

  • Properties of Exponents : It is also called power or degree.
  • It tells us how many times the base will be multiplied by itself.
  • The properties of exponents or laws of exponents are wont to solve problems involving exponents.
  • These properties also are considered as major exponents rules to be followed while solving exponents.

Using exponential property on given values we get,

2^1=1/ 2\\2^2=1/4\\2^3=1/8\\2^4= 1/16\\2^5= 1/32\\2^6 = 1/64\\2^7 = 1/128\\2^8 = 1/256\\2^9 = 1/512\\2^10 = 1/1024\ ...

Complete series using exponent property is:\frac{1}{2} , \frac{1}{4} , \frac{1}{8} ,\frac{1}{16} ,\frac{1}{32} ,\frac{1}{64} ,\frac{1}{128} ,\frac{1}{256} ,\frac{1}{512} ,\frac{1}{1024} ,

Learn more about exponential property here:

brainly.com/question/25633462

#SPJ9

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4 less than half a number is equal to 2 more than the number
xxMikexx [17]

Answer:

-12

Step-by-step explanation:

Let that number be x. We can build an equation, and solve for x.

4 less than half of x is x/2-4.

2 more than x is x+2.

We are given that the two quantities are equal, so we have that x/2-4=x+2.

Adding 4 to both sides gives x/2=x+6.

Multiplying both sides by 2 gives x=2(x+6)=2x+12.

Subtracting 2x from both sides gives -x=12.

Multiplying both sides by -1 gives x=-12.

So, the number is \boxed{-12} and we're done!

The check is left as an exercise to the reader.

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Step-by-step explanation:

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