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Consider the sequence $5 ; 12 ; 21 ; 32 ; ...$

  1. Write down the next term of the sequence
  2. Determine a formula for the nth term of this sequence.
in Grade 12 Maths by Diamond (37.9k points) | 19 views

1 Answer

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1. 1st difference= 7,9,11,..

2nd difference= 2,2,..

next term= 2+11+32 = 45 , adding last terms of all the 3 sequences

2. 2a=2

      a= 1

3a+b=7

      b= 7-3(1)= 4

a+b+c= 5

           c= 5-1-4= 0

nth term= n^2 +4n
by Silver Status (28.5k points)

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