Representing Sequence 1*3*5*7*9... with Factorials for Calculator Use

In summary, the conversation discusses the use of factorials to represent the sequence 1*3*5*7*9... This method allows for simpler and more efficient calculations on calculators. However, there are limitations as factorials can only be used for positive integers and can lead to large numbers. This method can also be applied to other sequences as long as they follow a similar pattern. To calculate the sum of the first n terms, the formula (n+1)! - 1 can be used.
  • #1
nameVoid
241
0
is there a way to represent the sequence 1*3*5*7*9...(2n-1) for n>=1 with a factorial if not is thre a way to input that sequence ino a calculator with somthing
 
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  • #2
1*3*5*7*9...*(2n-1) = (2n - 1)!/(2*4*6*...*(2n - 2))
 
  • #3
ok is there a way to enter this into a ti without listing
 
  • #4
Try factoring a 2 out of each term in the denominator of Mark's post
 

FAQ: Representing Sequence 1*3*5*7*9... with Factorials for Calculator Use

How can I represent the sequence 1*3*5*7*9... using factorials?

The sequence 1*3*5*7*9... can be represented using factorials as 1! * 3! * 5! * 7! * 9!...

Why is representing the sequence using factorials useful for calculator use?

Representing the sequence using factorials is useful for calculator use because it allows for simpler and more efficient calculations. Instead of having to multiply each number individually, you can simply use the factorial function on your calculator to find the product.

Are there any limitations to representing the sequence using factorials?

Yes, there are limitations. Factorials can only be used for calculating the product of positive integers. Additionally, as the numbers in the sequence get larger, using factorials can lead to very large numbers which may exceed the calculator's display or storage capabilities.

Can I use this method to represent other sequences?

Yes, this method can be used to represent other sequences as long as they follow a similar pattern of increasing by odd numbers. For example, you could use factorials to represent the sequence 2*4*6*8*10... by writing it as 2! * 4! * 6! * 8! * 10!...

How can I calculate the sum of the first n terms of the sequence using factorials?

To calculate the sum of the first n terms of the sequence using factorials, you can use the following formula: (n+1)! - 1. This formula works for any sequence that follows the pattern of increasing by odd numbers.

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