what observation can you make about the successive partial sums of this series? what whole number does it appear that the sum will always be smaller than?
2007-02-01 15:38:37 · 8 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
This sequence will actually always be smaller than 1.5 (the sum converges to 1.5 as the number of components goes to infinity) so it will always be smaller than 2 (or any larger whole number)
2007-02-01 15:47:53 · answer #1 · answered by dukebdevil93 2 · 0⤊ 0⤋
After the number 1, the fractions all have to do with the number 3. All the numbers added together are smaller than the whole number 2.
2007-02-01 23:45:11 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Each number is divided by 3. or it could be multipied with 1/3.
2007-02-01 23:43:09 · answer #3 · answered by Juni Mccoy 3 · 0⤊ 0⤋
2.
2007-02-01 23:43:37 · answer #4 · answered by Smarty Pants 1 · 0⤊ 0⤋
its 1/3^n, where the first one n=0. approaching 1.5
2007-02-01 23:46:42 · answer #5 · answered by climberguy12 7 · 0⤊ 0⤋
If I answer you will you tell me what grade I get on my test?
2007-02-01 23:47:37 · answer #6 · answered by Me2 5 · 0⤊ 0⤋
they are all multiplied by one third and will never exceed 1.5
2007-02-01 23:42:31 · answer #7 · answered by Matt Y 2 · 0⤊ 1⤋
Do your homework!!!
2007-02-01 23:42:30 · answer #8 · answered by margie c 3 · 0⤊ 1⤋