Yes: Vn = Vn-1*cos(π/2(n+1)) .mtayab1994 said:Homework Statement
given: Vn+1=Vn*cos(pi/2^(n+2))
Homework Equations
Write a sequence Vn in terms of n
The Attempt at a Solution
we substitute n with n-1 and we get:
V(n-1)+1= Vn-1*cos(pi/2^(n-1+2))
Vn=Vn-1*cos(pi/2^(n+1)
Is this correct?
LCKurtz said:Google Lyx and/or Miktex.
mtayab1994 said:Yea i have them, but when i type up something in there and I try putting it up in here it comes up all weird.
LCKurtz said:Oh, I didn't understand that's what you wanted to do. What problem are you having using the forum TeX tools for the forum?
mtayab1994 said:It's not a 'problem' but sometimes when I want to type something in it doesn't come up how I want it. This is an example with Lyx:
U_{n+1}=V_{n}+U_{n}
To write a sequence in terms of n, you need to first determine the pattern or rule of the sequence. This can be done by looking at the given numbers in the sequence and identifying any relationships or patterns. Once you have identified the pattern, you can then use n as the variable to represent the position in the sequence. For example, if the pattern is adding 3 to each number, the sequence in terms of n would be n+3.
Yes, n is commonly used as the variable for sequences, but you can use any variable as long as it represents the position in the sequence. Some other commonly used variables are k, m, and i.
To write a formula for a sequence in terms of n, you can use the general form of an arithmetic or geometric sequence. For an arithmetic sequence, the formula is an=a1+(n-1)d, where a1 is the first term, d is the common difference, and n represents the position in the sequence. For a geometric sequence, the formula is an=a1*r^(n-1), where a1 is the first term, r is the common ratio, and n represents the position in the sequence.
Yes, you can still write a sequence in terms of n even if it is not a simple pattern. You may need to use more complex formulas or equations to represent the sequence, but as long as the variable n represents the position in the sequence, it can be written in terms of n.
You can check if you have written a sequence correctly in terms of n by plugging in different values for n and seeing if the resulting numbers follow the given pattern or rule. You can also graph the sequence to visually see if it matches the given pattern. If the sequence follows the pattern correctly, then it is written correctly in terms of n.