The answer would be 120... You are increasing by odd numbers 8, 15 (difference is 7) 24 (difference of 9) 35 (difference of 11) 48 (difference of 13) 63 (difference of 15).... etc.... increasing the terms by odd numbers 7 , 9, 11, 13, 15, 17, 19, 21.. I hope this helps
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(n+1)2-1
15(1)
35 * * * * * That is the next term. The question, however, is about the nth term. And that is 6*n - 1
It is 6n+5 and so the next term will be 35
If you layout the sequence... 3, 8, 15, 24, 35... ok so you find the difference between these 3 to 8= +5 8 to 15= +7 15 yo 24= +9 24 to 35= +11 so now you find something called the second difference which is +2 +2 +2 +2 +2. Then you need to divide the second difference by 2 which is just n^2 as it is a quadratic sequence you are finding. now you do the nth term which is just 1 2 3 4 5 etc. and you do your n squared sequence which is 1 4 9 16 25 etc. and you do your sequence 3 8 15 24 35 you find out that you need from the n squared sequence and your regular sequence which is +2 +4 +6 +8 +10 this is your 2n add 2n to the divided term n squared and you have your answer, Answer= n squared +2n ------> (n^2)+2n