Please, continue the two sequences of numbers below and find

Sapewa

Sapewa

Answered question

2022-01-15

Please, continue the two sequences of numbers below and find an equation to each of the sequences: n=1,2,3,4,5,6,7
Equation an=2,5,9,14,20,27, bn=1,3,12,60,360,2520

Answer & Explanation

Shannon Hodgkinson

Shannon Hodgkinson

Beginner2022-01-17Added 34 answers

You already have an answer for the first, so Ill
RizerMix

RizerMix

Expert2022-01-20Added 656 answers

First sequence: an=2,5,9,14,20,27,.. Thus, a1=2, a2=5, a3=9, a4=14 Now, a2a1=3 a3a2=4 a4a3=5 And so on.. anan1=n+1 This is cumulative sequence. Thus, we get ana1=3+4+5+...+(n+1) an2=3+4+5+...+(n+1) an=2+3+4+5+...+(n+1) an=n2[2+(n+1)] Therefore, an=n(n+3)2 Put n=7 a7=7(7+3)2=7×102=35 Hence, the equation is an=n(n+3)2 and a7=35

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