2007-04-27 09:20:33 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
False.
Eg. 1, 1, 1, 1, ... is a perfectly servicable sequence.
2007-04-27 09:26:47 · answer #1 · answered by MHW 5 · 0⤊ 0⤋
Consider the Fibonacci sequence:
0,1,1,2,3,5,8,13,...
The first two elements of the sequence, 0 and 1, are defined. The remaining elements are defined as the sum of the two preceeding elements.
The second and third terms are obviously the same.
Yes. Two terms of a sequence can be the same.
2007-04-27 09:31:28 · answer #2 · answered by Anonymous · 0⤊ 0⤋
False.
Counterexample: The sequence 0, 0, 0, 0, 0, ... has all terms being equal.
Yes, I know it sounds dumb. But it's the best counterexample I could find!
2007-04-27 09:28:41 · answer #3 · answered by Anonymous · 0⤊ 0⤋
false Take a_n =(-1)^n
all even terms a equal and also the odd ones
2007-04-27 09:31:13 · answer #4 · answered by santmann2002 7 · 0⤊ 0⤋
False. The Fibbonaci sequence for example is 1,1,2,3,5,8,...
2007-04-27 09:46:34 · answer #5 · answered by Anonymous · 0⤊ 0⤋