it goes by odd numbers, 2 + 3= 5, 5+5=10, 10 + 7=17
the rest of the pattern is 26, 37, and 50
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17.6 = 17 6/10 = 17 6÷2/10÷2 = 17 3/5
It is: 2*10-3 = 17
X2 + 10X - 13 = 17 add 13 to each side X2 + 10X = 30 halve the linear coefficient ( 10 ), square it and add it to both sides X2 + 10X + 25 = 30 + 25 factor on the left and gather terms on the right (X + 5)2 = 55 (X + 5)2 - 55 = 0 ---------------------------vertex form, (- 5, - 55 ), is the vertex -------------------------------------------[-------------------------------]
t(n) = 3(n-1) + 1, for n = 1, 2, 3, etc
13 10 17 15 21 13 - 10 = -3 10 - 17 = +7 17 - 15 = -2 15 - 21 = +6 The negative numbers alternate with the positive numbers The negative numbers are augmented by +1 each step The positive numbers are diminished by -1 each sterp So the next step from 21 is a negative and should be -2 increased by +1 to -1 giving a new value of 20 Then the next step is a positive and should be +6 decreased by -1 to +5 giving 25 13 - 10 = -3 10 - 17 = +7 17 - 15 = -2 15 - 21 = +6 21 - 20 = -1 20 - 25 = +5