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Question Number 23953 by NECx last updated on 10/Nov/17
find the nth term of the sequence 4, 9, 16, 45, 76 please help
findthenthtermofthesequence4,9,16,45,76pleasehelp
Commented by prakash jain last updated on 10/Nov/17
T_n =((4(n−2)(n−3)(n−4)(n−5))/(1∙2∙3∙4)) −((9(n−1)(n−3)(n−4)(n−5))/(1∙2∙3)) +((16(n−1)(n−2)(n−4)(n−5))/(1∙2∙1∙2)) −((45(n−1)(n−2)(n−3)(n−5))/(1∙2∙3)) +((76(n−1)(n−2)(n−3)(n−4))/(1∙2∙3∙4)) +k(n−1)(n−2)(n−3)(n−4)(n−5) k is any value.
Tn=4(n−2)(n−3)(n−4)(n−5)1⋅2⋅3⋅4−9(n−1)(n−3)(n−4)(n−5)1⋅2⋅3+16(n−1)(n−2)(n−4)(n−5)1⋅2⋅1⋅2−45(n−1)(n−2)(n−3)(n−5)1⋅2⋅3+76(n−1)(n−2)(n−3)(n−4)1⋅2⋅3⋅4+k(n−1)(n−2)(n−3)(n−4)(n−5)kisanyvalue.
Commented by NECx last updated on 10/Nov/17
hmmmm
hmmmm
Commented by prakash jain last updated on 10/Nov/17
It satisfies the given conditions n=1 to 5 for any value of k. In general the point is that there are infinite number of formula available for a given number of finite terms.
Itsatisfiesthegivenconditionsn=1to5foranyvalueofk.Ingeneralthepointisthatthereareinfinitenumberofformulaavailableforagivennumberoffiniteterms.
Commented by NECx last updated on 10/Nov/17
thankz a lot.
thankzalot.

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