Given any number it is possible to find a polynomial of order 5 such that it is a position-to-term rule for the above five and the additional number.
The simplest polynomial of order 4 gives
Un = (n4 - 6n3 + 23n2 - 6n)/12 for n = 1, 2, 3, ...
and accordingly, the next number is 66.
Chat with our AI personalities
35. The difference between successive terms increases by 1: 5 + 6 = 11 11 + 7 = 18 18 + 8 = 26 ⇒ 26 + 9 = 35
Finding 35 percent of a number is the same as multiplying the number by 0.35. In this instance, 0.35 x 18 = 6.3, or six and three tenths.
60 !.. 17+18=35... 35+25=60 !
7+5x=(7/5)x multiply by 5 35 + 25x = 7x subtract 25x 35 = -18x divide by 18 x = (-35 / 18) now check 7+5(-35/18)=(7/5)(-35/18) 7-(175/18)=(7/5)(-35/18) (cast out 5 from the 5 and 35) (126/18)-(175/18)=(7/1)(-7/18) (-49/18)=(-49/18) and yes it does.◄
The number sequence given is 100,135,7,25. The next number would be 498 given this pattern.(35 -128, 18, 47.3, -163,146, 455, 309, 309) the difference of the pattern never converges.