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
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!!!!
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
The factor that does not belong in the sequence is 1. The sequence follows a pattern of multiplying by 2: 2 x 2 = 4, 4 x 2 = 8, 8 x 2 = 16. However, 1 does not fit this pattern and disrupts the sequence.
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
i0 = 4; in = in-1 - 3
Everytime you move to the next number you add 1, then 2, then 3, etc.1+1=22+2=44+3=77+4=1111+5=1616+6=2222+7=2929+8=37
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
2 squared 1 = 4 so the divisibility rule is that it is divisible by 1, 2 and 4.
3 is the answer
The pattern rule for the given sequence is: starting with 0, add 3, then subtract 1, then add 2, then add 2, then add 3, then add 1, and the pattern repeats. This can be written as: +3, -1, +2, +2, +3, +1. This rule can be used to predict the next numbers in the sequence.
5-30-6-42-7-56-8-72