It looks like it could be:
0 + 2 = 2
2 + 4 = 6
6 + 6 = 12
The next logical answers would be:
12 + 8 = 20
20 + 10 = 30
30 + 12 = 42
And so on...
Factor. X^2 + 12X X(X + 12) = 0 X = 0 ------------- X + 12 = 0 X = - 12 --------------
x2+8x+12 = 0 When factorized: (x+6)(x+2) = 0 Therefore: x = -6 or x = -2
lim(x->0) of sin(x)^2/x we use L'Hospital's Rule and derive the top and the bottomd/dx(sin(x)^2/x)=2*sin(x)*cos(x)/1lim(x->0) of 2*sin(x)*cos(x)=2*0*1=0
2x - 3y = 12When x = 0, y = -4, so that y-intercept is -4.2x - 3y = 122(0) - 3y = 12-3y = 12 (divide both sides by -3)y = -4When y = 0, x = 6, so that x-intercept is 6.2x - 3y = 122x - 3(0) = 122x= 12 (divide both sides by 2)x = 6
x^2 - 6x + 6 = 0 Quadratic formula give (6 +/- sqrt(36 - 24))/2 ie 3 +/- (sqrt 12)/2 = 3 +/- 3.464/2 = 3 +/- 1.732 = 4.732 or 1.268
add 6, subtract 2
Multiply each value by 6.
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.
The rule of this pattern is -2 + 6 +4 so the next number would be 16.
The next number is 12. The rule is Un = (2n4 - 27n3 + 123n2 - 214n + 120)/2 for n = 1, 2, 3, ...
5-30-6-42-7-56-8-72
One possible rule is Un = (-1493n3 + 13443n2 - 38890n + 36024)/6 for n = 1, 2, 3, 4.
It is: 3 6 12 24 48 .... double up each time
You add 2, then 3, then 4, then 5, then 6...etc
One answer would be 0.There is a pattern of half the number and subtract 2. 4/2 - 2 = 0.
on 4 valve tuba F major scale- 4 12 2 0 4 12 2 0 12 2 0 1 0 2 0
The pattern in the sequence 5, 12, 26, 54 can be determined by observing how each term relates to the previous one. Each term can be derived by multiplying the previous term by 2 and then adding an incrementing integer: (5 \times 2 + 2 = 12), (12 \times 2 + 2 = 26), and (26 \times 2 + 2 = 54). Thus, the rule can be expressed as (a_n = a_{n-1} \times 2 + 2), where (a_1 = 5).