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What is the next number of the following sequence 3, 14, 39, 84, ?

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What is the next number of the following sequence 3, 14, 39, 84, ?
posted Aug 25, 2014 by anonymous

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5 Answers

+2 votes
 
Best answer

Ans - 155
3= (1×1×1)+ (1×2)
14= (2×2×2)+(2×3)
39=(3×3×3)+(3×4)
84=(4×4×4)+(4×5)
So next term will be
(5×5×5)+(5×6)= 125+30=155

answer Dec 15, 2014 by Pallavi Patil
+2 votes

3=1*3
14=2*7
39=3*13
84=4*21
?=5*(n)
7-3=4, 13-7=6, 21-13=8, n-21=10 =>n=31
5*31=155
so ans is 155

answer Aug 26, 2014 by J Aravinthkumar
+1 vote

We have a sequence like...

1^3 +1^2 +1 =1 +1 +1 = 3
2^3+2^2+2=8+4+2 = 14
3^3+3^2+3=27+9+3 = 39
4^3+4^2+4=64+16+4 = 84
5^3+5^2+5=125+25+5 =155

So, the missing number is 155.

answer Mar 14, 2016 by Ashutosh Kumar Anand
0 votes
3       3   *  4 + 2 = 14 
14      14  *  3 -  3 = 39 
39      39 *  2 + 6 = 84
84      84 * 1  -  18 = 66

So next number is 66.

answer Aug 26, 2014 by anonymous
–1 vote

119 is the number in the sequence

answer Mar 15, 2016 by anonymous
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