http://www.mapleprimes.com/questions/130373-Let-A-Sequence-An---Defined-By-An136123351and en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Thu, 11 Jun 2026 10:12:14 GMT Thu, 11 Jun 2026 10:12:14 GMT The latest answers and comments added to the Question, Let a sequence( an ) defined by an=1,3,6,12,33,51,...and n=1,2,3,.... Find formula an? http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/questions/130373-Let-A-Sequence-An---Defined-By-An136123351and http://www.mapleprimes.com/questions/130373-Let-A-Sequence-An---Defined-By-An136123351and?ref=Feed:MaplePrimes:Let a sequence( an ) defined by an=1,3,6,12,33,51,...and n=1,2,3,.... Find formula an?:Comments#answer130386 <p>None sequence is&nbsp; uniquely determined by several members without additional conditions! <span class="hps alt-edited">If we look for</span> <span class="hps">a formula</span> <span class="hps">in a class</span> <span class="hps">of polynomials</span> <span class="hps">of degree</span> &lt;=<span class="hps">5, then</span> <span class="hps">the decision will be</span></p> <p><strong>a[n]=CurveFitting[PolynomialInterpolation]([1, 2, 3, 4, 5, 6],[1, 3, 6, 12, 33, 51],n);</strong></p> <p><strong><img src="http://s017.radikal.ru/i401/1202/17/7d7d79b0beab.png" alt="" width="416" height="57"></strong></p> <p>None sequence is&nbsp; uniquely determined by several members without additional conditions! <span class="hps alt-edited">If we look for</span> <span class="hps">a formula</span> <span class="hps">in a class</span> <span class="hps">of polynomials</span> <span class="hps">of degree</span> &lt;=<span class="hps">5, then</span> <span class="hps">the decision will be</span></p> <p><strong>a[n]=CurveFitting[PolynomialInterpolation]([1, 2, 3, 4, 5, 6],[1, 3, 6, 12, 33, 51],n);</strong></p> <p><strong><img src="http://s017.radikal.ru/i401/1202/17/7d7d79b0beab.png" alt="" width="416" height="57"></strong></p> 130386 Mon, 06 Feb 2012 23:08:58 Z Kitonum Kitonum http://www.mapleprimes.com/questions/130373-Let-A-Sequence-An---Defined-By-An136123351and?ref=Feed:MaplePrimes:Let a sequence( an ) defined by an=1,3,6,12,33,51,...and n=1,2,3,.... Find formula an?:Comments#answer130419 <p>I am sorry but i don't understand because i haven't studied about that .</p> <p>I am sorry but i don't understand because i haven't studied about that .</p> 130419 Tue, 07 Feb 2012 12:46:47 Z yangtheary yangtheary