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If you notice, there is a common difference between the terms: tn - tn-1 = -4 So the nth term is: tn = tn-1 - 4 For this recursive sequence to be defined though, you need something to start with as your tn-1. So start with t1= 3 and you're done.
Subtract -13 at each consecutive term and so the next term will be -34
The next number in the sequence 5-7-13-31 is 69.
Arithmetic
The nest number in the sequence is 18. Note that the difference between each number and the next number in the sequence follows the simple sequence of 1,2,3,4. Obviously the next in the sequence of increases is 5, so 13+5=18.
Let f(x) = the xth term in your sequence. If x = 1, then f(x) = 5; otherwise if x > 1, then f(x) = f(x - 1) + 4.
If you notice, there is a common difference between the terms: tn - tn-1 = -4 So the nth term is: tn = tn-1 - 4 For this recursive sequence to be defined though, you need something to start with as your tn-1. So start with t1= 3 and you're done.
Subtract -13 at each consecutive term and so the next term will be -34
The next number in the sequence 5-7-13-31 is 69.
The term menarche describes onset of menstruation. This is usually charachterisic of age 12 or 13.
Well, the menstruation starts at the age of 12-13 in girls. The term for onset of menstruation is menarche .
Arithmetic
The nest number in the sequence is 18. Note that the difference between each number and the next number in the sequence follows the simple sequence of 1,2,3,4. Obviously the next in the sequence of increases is 5, so 13+5=18.
arithmetic
After 13, it's 18.
Advantages:Through Recursion one can Solve problems in easy way whileits iterative solution is very big and complex.Ex : tower of HanoiYou reduce size of the code when you use recursive call.Disadvantages :Recursive solution is always logical and it is verydifficult to trace.(debug and understand)Before each recursive calls current values of the variblesin the function is stored in the PCB, ie process controlblock and this PCB is pushed in the OS Stack.So sometimes alot of free memory is require for recursivesolutions.Remember : whatever could be done through recursion could bedone through iterative way but reverse is not true.
So the interesting thing about sequences is that there can be multiple solutions, and you can almost never "prove" without additional information what the "next" value is going to be. However, in sequences like yours, we can take very good guesses. I think you have a mistake in the last number of your sequence, if 55 is supposed to be 53, then the next value in your sequence is going to be 86. How do we know this? Given the first two values being 6 and 7, every future value will be the sum of the previous two values. If you want to get all technical, this is called a recursive function, because the next value is dependent on previous values of the function. In your case f(x) = f(x-1) + f(x-2) given f(0) = 6 and f(1) = 7 Thus: f(0) = 6 f(1) = 7 f(2) = 6 + 7 = 13 f(3) = 7 + 13 = 20 f(4) =13 + 20 = 33 f(5) = 20 + 33 = 53 f(6) = 33 + 53 = 86 If you didn't make a typo, and your last value really is 55, then we can still solve it, however we get a significantly more complicated recursive equation (and given the small number of values there is virtually no way to justify one recursion over another) hence why I think you have a typo.