2,5,10,17,... which equation represents the rule for finding the nth term of this equation

Question ID 524513

Created April 3, 2011 2:44am UTC

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URL https://questions.llc/questions/524513

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did you notice that each term is one larger than a perfect square, .... 2 = 1^2 + 1 5 = 2^2 + 1 10 = 3^2 + 1 17 = 4^2 + 1 . . so what do you think?

Answer ID 524521

Created April 3, 2011 3:01am UTC

URL https://questions.llc/answers/524521

The numbers are increasing by 3 then 5 then 7 then 9. Next, notice that every number is actually one more than a square number. So the general formula is: a(n)=1+n^2 Let's check: a(1)=1+1^2=1+1=2 a(2)=1+2^2=1+4=5 a(3)=1+3^2=1+9=10 a(4)=1+4^2=1+16=17 We see it's correct. The next numbers in the sequence should be: a(5)=1+5^2=1+25=26 a(6)=1+6^2=1+36=37 etc.

Answer ID 524804

Created April 3, 2011 9:08pm UTC

URL https://questions.llc/answers/524804

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