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.
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.
To find the even numbers between 250 and 500, we start with the smallest even number, which is 252, and the largest even number, which is 498. This forms an arithmetic sequence where the first term is 252, the last term is 498, and the common difference is 2. The total number of terms can be calculated using the formula for the nth term of an arithmetic sequence, resulting in 124 even numbers between 250 and 500.
252 Use t(n) = 0.5*(n3 + 13n2 + 4n + 34) for n = 1, 2, 3, ...
1/3
252= 6256252= 3906253906252= 1.525878906x10111.525878906x1011=2.328306437x1022
392
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.
To find the even numbers between 250 and 500, we start with the smallest even number, which is 252, and the largest even number, which is 498. This forms an arithmetic sequence where the first term is 252, the last term is 498, and the common difference is 2. The total number of terms can be calculated using the formula for the nth term of an arithmetic sequence, resulting in 124 even numbers between 250 and 500.
252 Use t(n) = 0.5*(n3 + 13n2 + 4n + 34) for n = 1, 2, 3, ...
1 3 6 18 36
1/3
252= 6256252= 3906253906252= 1.525878906x10111.525878906x1011=2.328306437x1022
1 inch = 2.54 centimeters252 centimeters x 1 inch/2.54centimeters= 99.21 inchesyou may try the online converter linked below next time
The LCM, or least common multiple of 14 and 252 is 252. 14 x 18 = 252, and 252 x 1 = 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.
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
30% of 252= 30% * 252= 0.3 * 252= 75.6