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Given any number, it is always possible to find a polynomial of degree 6 that will fit the above numbers and the additional given number.

The simplest position to value rule, in polynomial form, for the above sequence is

Un = (3n3 - 5n2 + 4n - 12)/2 for n = 1, 2, 3, ...

and accordingly, U7 = 412.

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Q: What is the next term in this sequence 7 12 30 70 141 252?
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Related questions

What are the next 3 numbers in the sequence 2 12 36 80 150 252?

392


What is the 50 term for 2 7 12 17?

The sequence goes up by 5 each time; the first term is two. So the nth term is 2 + 5n. n=50 => 2+50*5 = 252.


What number comes next in the sequence 26 51 95 161?

252 Use t(n) = 0.5*(n3 + 13n2 + 4n + 34) for n = 1, 2, 3, ...


What the sequence for 7 21 42 126 252 756?

1 3 6 18 36


What is 0.252 as a fraction?

0.252 as a fraction = 252/1000 or 63/250 in lowest term 0.252 * 1000/1000 = 252/1000 or 63/250 in fraction in lowest term


What is 84 over 252 in the lowest term?

1/3


What are the next four square numbers after 25?

252= 6256252= 3906253906252= 1.525878906x10111.525878906x1011=2.328306437x1022


How many terms of the ap 43 39 35 ... be taken so that their sum is 252?

12 terms. Sum_of_ap = n(2a + (n-1)d) ÷ 2 For 43, 39, 35, ... a = 43, d = -4 ⇒ 252 = n(2 x 43 + (n - 1) x -4) ÷ 2 ⇒ 252 = 45n -2n2 ⇒ 2n2 - 45n + 252 = 0 ⇒ (2n - 21)(n - 12) = 0 ⇒ n = 101/2 or 12 101/2th terms do not make sense, so cannot be an answer. Thus 12 terms are needed. What happens is that the sum increases whilst the terms are positive. After 10 terms, the sum is still less than 252. The 11th term is the last positive term and takes the sum over 252; the 12th term is the first negative term and takes the sum back down to 252.


How many inches does 252 inches equal?

1 inch = 2.54 centimeters252 centimeters x 1 inch/2.54centimeters= 99.21 inchesyou may try the online converter linked below next time


What is the LCM of 14 and 252?

The LCM, or least common multiple of 14 and 252 is 252. 14 x 18 = 252, and 252 x 1 = 252.


Factor pairs of 252?

252 = 1 x 252 252 = 2 x 126 252 = 3 x 84 252 = 4 x 63 252 = 6 x 42 252 = 7 x 36 252 = 9 x 28 252 = 12 x 21 252 = 14 x 18


What is 30 percent of 252?

30% of 252= 30% * 252= 0.3 * 252= 75.6