rightmarsha rightmarsha
  • 22-10-2019
  • Mathematics
contestada

Write the first five terms of the sequence in which the nth term is an=(n+1)! / n+1

Please Help me find the answer!

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mberisso
mberisso mberisso
  • 22-10-2019

Answer:

1, 2, 6, 24, 120

Step-by-step explanation:

let's work on each of the five terms requested for the sequence. Notice that the first term is when we give n the value 1 [tex]a_1=(1+1)!/(1+1)=2!/2=2/2=1[/tex]

Next term (when n=2) is: [tex]a_1=(2+1)!/(2+1)=3!/3=3*2/3=2[/tex]

Next term (when n=3) is:  [tex]a_1=(3+1)!/(3+1)=4!/4=4*3*2/4=6[/tex]

Next term (when n=4) is:  [tex]a_1=(4+1)!/(4+1)=5!/5=5*4*3*2/5=24[/tex]

Next term (when n=5) is:  [tex]a_1=(5+1)!/(5+1)=6!/6=6*5*4*3*2/6=120[/tex]

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