ive been given a maths question i have 6 blocks 3 of them are green other 3 are black. When placing them i have to make a gap in between them, i have to move the blocks around, but find the least amout of moves i can make. You can only jump over one block or move 1 space but you musnt hit one block off or swap places. For 3 blocks on each side ive figures it out to be 15 moves for 4 on each side 24 moves and for 5 35 can anyone please tell me what 6 on each side would be and does anyone know the algabraic equation for this sequence? i would be extremely grateful if you could also tell me how i find out what any number higher could be worked out?
Thankyou so much ive been working n this for about 3 or 4 hours now and its not paying off thankyou xx
2007-04-18 06:52:04 · 5 answers · asked by desperateforhelp!!! 1 in Science & Mathematics ➔ Mathematics
This is confusing, and I don't understand.
2007-04-18 06:56:08 · answer #1 · answered by Anonymous · 0⤊ 0⤋
im not sure i understand the problem but looking at the numbers you gave you have x(x+2) where x is the number of blocks on ea side. since 3(3+2)=15 and 4(4+2)=24. so using that i would say that the 6 blocks would be 48. and you could use that for higher amounts.
2007-04-18 07:01:04 · answer #2 · answered by 4happyg 2 · 0⤊ 0⤋
Notice that 15 = 16-1 = 4^2-1
24 = 25-1 = 5^2 -1
35 = 36-1 = 6^2-1
So the formula is (n+1)^2-1
So for six blocks on each side it would take
(6+1)^2-1 = 48 moves
2007-04-18 07:00:33 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋
HOW ABOUT48?
15+9= 24
24+11=35
35+13=48
9,11,13 adding the next odd number to the last total.
2007-04-18 06:57:02 · answer #4 · answered by Anonymous · 0⤊ 0⤋
umm so wat are u saying, because i think u put 2 much info in this one. IM CONFUSTED!!!
2007-04-18 07:49:53 · answer #5 · answered by Anonymous · 0⤊ 0⤋