- #1
terryds
- 392
- 13
I see that derivative of y with respect to x is just like the ratio of y over x.
But, Why Un (the formula to find nth term) is not the derivative of Sn (the sum of sequence formula) ??
For example,
1 2 5 10 -> y = x2+1
+1 +3 +5 -> y= 2x-1
+2 +2 -> y=2
I think that the second level is 2x (since it's the derivative of y = x2+1), but it's not...
Derivative of y with respect to x is just like how much y will gain with x gaining, right ?
Is there any way or formula to correlate the derivative of Sn with Un ??
But, Why Un (the formula to find nth term) is not the derivative of Sn (the sum of sequence formula) ??
For example,
1 2 5 10 -> y = x2+1
+1 +3 +5 -> y= 2x-1
+2 +2 -> y=2
I think that the second level is 2x (since it's the derivative of y = x2+1), but it's not...
Derivative of y with respect to x is just like how much y will gain with x gaining, right ?
Is there any way or formula to correlate the derivative of Sn with Un ??