15, 21 (the triangular numbers)
3, 1, 1/3
Each successive number after 2, is formed by adding 3, then 5, then 7, and so on. 2 + 3 =, 5 5 + 5 = 10 10 + 7 = 17 So the next two numbers are : 17 + 9 = 26 26 + 11 = 37 The formula for the series is n2 + 1 So when n = 1, n2 + 1 = 2 When n = 5, n2 + 1 = 26 When n = 6, n2 + 1 = 37..........and so on
Oh, dude, like, the patterns for 11235 are, well, 1, 1, 2, 3, 5. It's like this sequence thing, you know? You add the two previous numbers to get the next one. So, it's like a math party, but with numbers.
there are 4 different ways you can do it
There are four ways to arrange 10 objects in a rectangular array; 1 x 10, 2 x 5, 5 x 2, and 10 x 1. Two of these patterns are mirror images of two others.
At least 120, plus your next two bowls, the first one twice, the second once. Strike 1: 10+10+10=30 Strike 2: 10+10+10=30 Strike 3: 10+10+10=30 Strike 4: 10+10+Next Bowl=20+Next Bowl Strike 5: 10+Next Bowl+Bowl After That= 20 + Next Bowl + Bowl After That 120+(Next Bowl*2)+Bowl After That
Dart Board
It is a number system that uses the digits 0 and 1 only. So 0 is written 0 and 1 is 1, but two in base 10 is written 10 in binary. The first digit is 20 or 1, the next is 21 or 2, the next digits is 22 This keeps going and any number can be written in binary or base two.
The answer is 27.The pattern is this: 2 (+7) 9 (-4) 5 (+8) 13 (-3) 10 (+9) 19 (-2) 17 (+10) 27 (-1) 26 and so on. Notice the two patterns (+7, +8, +9, +10, etc.) and (-4, -3, -2, -1, etc.) that show up when you look at the differences between each pair of numbers in the series.
To work out Pascal's Triangle, you start with two ones at the top. From there on, you add the two numbers above to get the next number. The numbers on the outside will always be 1. ....1.....1 ...1...2...1 ..1..3...3..1 .1.4...6...4.1 1 5 10 10 5 1
A strike means the next 2 balls count double, a spare means 10 points plus the next ball counts double. So a strike+spare is (10 + 10) = 20 for frame 1, and 10 more for frame 2, and the next ball counts double (and is tallied in frame 2):frame 1: 20 (total = 20)frame 2: 10 + next ball (total = 30+)frame 3: next ballA spare followed by a strike works out the same: 10 + 2*(10) = 30, and the next two balls (because of the strike) counts double. In long form, (x) + (10-x) + 2*(10).frame 1: 20 (total = 20)frame 2: 10 + next 2 balls (total = 30+)frame 3: next 2 ballsA game of all strikes quickly adds to 300... if you keep doing strikes, each frame gives you 30 points because you get 10 for what you hit, plus double the next two balls (each of which gave you 10).
Looks like an arithmetic progression of (-3). 10-3=7; 7-3=4; 4-3=1; 1-3=-2