Add the increasing numbers by one -
as in 0 1 2 3 4 5 6 etc
1 + 0 = 1
1 + 1 = 2
2 + 2 = 4
4 + 3 = 7
7 + 4 = 11
11 + 5 = 16
16 + 6 = 22
------- ------------- ----- ------ 0.005 ---- ------ ---- ---- 0.010
cube numbers next is 64 1 = 1 x 1 x 1 = 1³ 8 = 2 x 2 x 2 = 2³ 27 = 3 x 3 x 3 = 3³ then 64 = 4 x 4 x 4 = 4³
1/2 divide 3/4 Remember to rule for division of fractions. ; 'Change the sign to multiply and invert (turn over) the right hand fraction, then proceed as for multiplication of fractions'. Hence 1/2 X 4/3 = Cancel down by '2' 1/1 X 2/3 = 2/3 The answer!!!!
Multiplication is the shortcut for showing a repeated addition: 1 x 36 = 1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1 +1+1+1+1+1 = 36 2 x 18 = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 36 4 x 9 = 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 36 6 x 6 = 6 + 6 + 6 + 6 + 6 + 6 = 36
The factors of 4 are 1, 4, and 2.
i0 = 4; in = in-1 - 3
Double the previous number
t(n) = 3(n-1) + 1, for n = 1, 2, 3, etc
The rule is multiply the previous term by -1 to find the next term.
The pattern will be +2, +3, +4, +4
add 4 to every other number 1(+4)=5, 5(+4)=9 2(+4)=6
+2, +3, +2
3 is the answer
2 squared 1 = 4 so the divisibility rule is that it is divisible by 1, 2 and 4.
The rule for this sequence appears to be adding consecutive prime numbers. The sequence starts with 3, then adds the next prime number 2 to get 4. It then adds 3 (the next prime number) to 4 to get 7, then 5 to 7 to get 12, and so on. Each number in the sequence is the sum of the previous number and the next prime number in order.
5-30-6-42-7-56-8-72
4*2-2=6 6*2-2=10