How did this conversion took place ?

  • Thread starter Sumedh
  • Start date
In summary, the first expression given is 6(2)^(n-2) + 1 and the second expression is 6(2)^(n-1) + n + 2. These two expressions are not equal to each other and are not equations, as an equation must have an equal sign. The second expression cannot be derived from the first expression. Additionally, the last expression provided, 6(2)^(n-1) + n - 3, is also not equal to the first or second expression. It is unclear what the context or purpose of these expressions are without more information.
  • #1
Sumedh
62
0

Homework Statement


6(2)^(n-2) +1

then summation of above equation will be
6(2)^(n-1) + n + 2

can you please tell me how this equaton came from the first equation?

The Attempt at a Solution



the later formula is correct summation of the former

because it may look that the summation is
6(2)^(n-1) +n - 3

but by putting values of n-
6(2)^(n-1) +n - 3 is incorrect

please help as how the topmost formula gives the second formula
 
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  • #2
Sumedh said:

Homework Statement


6(2)^(n-2) +1

then summation of above equation will be
6(2)^(n-1) + n + 2

can you please tell me how this equaton came from the first equation?
It doesn't. First off, these aren't equations - they are expressions. An equation is a statement that two expressions are equal, and always has an = symbol in it.

Starting from your first expression,
6[itex]\cdot[/itex]2n-2 + 1 = 6[itex]\cdot[/itex]2n-1[itex]\cdot[/itex](1/2) + 1 = 3[itex]\cdot[/itex]2n-1 + 1

To show that your two expressions above aren't identically equal, let n = 2. Then 6[itex]\cdot[/itex]2n-2 + 1 = 6 * 1 + 1 = 7.

And 6[itex]\cdot[/itex]2n-1 + n + 2 = 6* 2 + 2 + 2 = 16.

Sumedh said:

The Attempt at a Solution



the later formula is correct summation of the former

because it may look that the summation is
6(2)^(n-1) +n - 3

but by putting values of n-
6(2)^(n-1) +n - 3 is incorrect

please help as how the topmost formula gives the second formula
 
  • #3
I'm not sure what these expressions (and these are expressions, not equation) are. Are there any symbols missing? Can you attach an image, or retype using LaTeX?
 
  • #5
I get a "page is unavailable" error.
 

FAQ: How did this conversion took place ?

How did this conversion take place?

In order for a conversion to take place, there must be a change in form or type from one state to another. This can happen through a variety of processes, such as chemical reactions, physical transformations, or data manipulation.

What factors influence the conversion process?

The specific factors that influence a conversion process vary depending on the type of conversion. For example, in a chemical reaction, factors such as temperature, pressure, and reactant concentrations can play a role. In data conversion, factors such as input format and software compatibility may be important.

Can a conversion be reversed?

In some cases, a conversion process can be reversed, meaning the original form can be restored. This is often seen in physical transformations, such as melting and freezing of substances. However, in other cases, the conversion may be irreversible, such as in a chemical reaction where new substances are formed.

How do scientists study conversion processes?

Scientists study conversion processes through experiments and observations. They may also use models and simulations to better understand the underlying mechanisms and factors involved in a conversion. Additionally, data analysis and statistical methods are often used to analyze and interpret results.

Are there any ethical concerns related to conversion processes?

In certain cases, there may be ethical concerns related to conversion processes. For example, in chemical conversions, there may be safety concerns for both humans and the environment. In data conversions, there may be privacy concerns if sensitive information is being transferred. It is important for scientists to consider and address any potential ethical issues in their research and applications of conversion processes.

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