Capgemini
Company
Numerical Ability
Sequence and Series
Q. What is the next number in the given series
4,18,100,294,....?
Read Solution (Total 8)
-
- The given series is difference of cubes and squares of consecutive prime numbers.
2*2*2-2*2=4,
3*3*3-3*3=18,
5*5*5-5*5=100,
7*7*7-7*7=294,
11*11*11-11*11=1210 - 10 years agoHelpfull: Yes(56) No(0)
- Best solution is squareing the prime number then multiply it by previous number.
4=2^2*1
18=3^3*2
100=5^5*4
294=7^7*6
1210=11^11*10 - 10 years agoHelpfull: Yes(26) No(12)
- clearly 2^3-2^2=4
3^3-3^2=18
5^3-5^2=100
7^3-7^2=294
11^3-11^2=1210 - 10 years agoHelpfull: Yes(6) No(1)
- t(n)=n^2*(n-1)
where n=prime number ( 2,3,5,7,11)
so for n=11
t(n)=121*10=1210 ans - 10 years agoHelpfull: Yes(4) No(3)
- n cube - n square
2*2*2-2*2=4
3*3*3-3*3=18,
5*5*5-5*5=100,
7*7*7-7*7=294,
11*11*11-11*11=1210 - 10 years agoHelpfull: Yes(0) No(0)
- can anyone give explanation for this
- 9 years agoHelpfull: Yes(0) No(0)
- 1 * 2*2=4
2 * 3*3=18
4 * 5*5=100
6 * 7*7=294
8 * 9*9 =648 - 7 years agoHelpfull: Yes(0) No(0)
- A)1210
formula is (n^3)-(n^2) where n values are prime numbers.
(2^3)-(2^2)=4; (3^3)-(3^2)=18;......(11^3)-(11^2)=1210 - 6 years agoHelpfull: Yes(0) No(0)
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