One rule for this pattern is to add twice the previous value added 4 + 1 = 5 5 + 2×1 = 5 + 2 = 7 7 + 2×2 = 7 + 4 = 11 11 + 2×4 = 11 + 8 = 19 Continuing the next numbers would be: 19 + 2×8 = 19 + 16 = 35 35 + 2×16 = 35 + 32 = 67 ...
f(x) = -4x2 - 16x - 11 a = -4, b = -16, c = -11 x-coordinate of the vertex = -b/2a = -(-16)/2(-4) = 16/-8 = -2 y-coordinate = f(-2) = -4(-2)2 -16(-2) - 11 = -16 + 32 - 11 = 5 vertex is (-2, 5)
29 because 1+1=2 2+2=4 4+3=7 7+4=11 11+5=16 16+6=22 22+7=29
Divide by 2 to get the next term.
the rule is add 7 because 4 plus 7 = 11
One rule for this pattern is to add twice the previous value added 4 + 1 = 5 5 + 2×1 = 5 + 2 = 7 7 + 2×2 = 7 + 4 = 11 11 + 2×4 = 11 + 8 = 19 Continuing the next numbers would be: 19 + 2×8 = 19 + 16 = 35 35 + 2×16 = 35 + 32 = 67 ...
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
f(x) = -4x2 - 16x - 11 a = -4, b = -16, c = -11 x-coordinate of the vertex = -b/2a = -(-16)/2(-4) = 16/-8 = -2 y-coordinate = f(-2) = -4(-2)2 -16(-2) - 11 = -16 + 32 - 11 = 5 vertex is (-2, 5)
The pattern will be +2, +3, +4, +4
29 because 1+1=2 2+2=4 4+3=7 7+4=11 11+5=16 16+6=22 22+7=29
16. 1 is added to the difference each time: 1 + 1 = 2 2 + 2 = 4 4 + 3 = 7 7 + 4 = 11 11 + 5 = 16 [the missing number] 16 + 6 = 22
16 because 2 + 2= 4, 4 + 3 =7, 7 + 4 = 11, so logically 11 + 5 = 16.
11 and 16 Because: 1+0 = 1 1+1 = 2 2+2 = 4 4+3 = 7 7+4 = 11 11+5 = 16 16+6 = 22 22+7 = 29 and so on ....
Equivalent fractions of 4/11 = 8/22, 12/33, 16/44, 20/55,…To get the equivalent fractions of 4/11:Multiply 4/11 by 2/2, 3/3, 4/4, 5/5,...4/11 * 2/2 = 8/224/11 * 3/3 = 12/334/11 * 4/4 = 16/444/11 * 5/5 = 20/55Equivalent fractions of 4/11 = 8/22, 12/33, 16/44, 20/55,…
multiply each number by 2
Either 14 or 16 continues a rule that generates 2 - 4 - 8.
33/4 - 54/16 = -3/2 or -11/2