Complete the following quenstions involving definitions for sequences Whitch of the following sequences is being generated by an "Explicit Formula"? 1)an={n2+3} 2)an={5n+7} 3)an={2n+1} 4)an+2={an+1−3an}

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Complete the following quenstions involving definitions for sequences Whitch of the following sequences is being generated by an &quot;Explicit Formula&quot;? 1)an={n2+3} 2)an={5n+7} 3)an={2n+1} 4)an+2={an+1−3an}

2k1enyvp · Accepted Answer

Explicit Formula:defines the terms of the sequence using their position in the sequence.  i.e. if we put values of n=1,2,3..... in the formula, we can get all terms of sequence.  1)an={n2+3}       n=1, a1=4       n=2, a2=7       n=3, a3=12       n=4, a4=19        Therefore we are getting sequence 4,7,12,19,....... This is ecplicit formula  2)an=5n−7      n=1, a1=−2      n=2, a2=3      n=3,a3=8      Therefore it is sequence generated by explicit formula sequence is −2,3,8,......  3)an=2n+1       n=1, a1=22        n=2, a2=23        n=3, a3=24        Therefore we can get all terms of sequence by this formula and hence it is explicit formula. Sequnce is 1,23,2,........  4)an+2=an+1−3an      n=1, a3=a2−3a1     Since we cannot find terms from this formula by putting values of n     Therefore this is not explicit formula.

Complete the following quenstions involving definitions for sequencesWhitch of the

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