what is the next number of 2, 10, 30, 68,_
Answers
Answered by
122
hi poojitha ,
2 , 10 , 30 , 68 , ?
carefully see the pattern
n^3 + n
1^3 + 1 = 1+1 = 2
2^3 + 2 = 8+2 = 10
3^3 + 3 = 27+3 = 30
4^3 + 4 = 64+4 = 68
similarly
5^3 + 5 = 125+5 = 130
hence , the next number in the pattern is 130.
Hope it helped.
Cheers !!!
2 , 10 , 30 , 68 , ?
carefully see the pattern
n^3 + n
1^3 + 1 = 1+1 = 2
2^3 + 2 = 8+2 = 10
3^3 + 3 = 27+3 = 30
4^3 + 4 = 64+4 = 68
similarly
5^3 + 5 = 125+5 = 130
hence , the next number in the pattern is 130.
Hope it helped.
Cheers !!!
jish4you:
hope u liked my solution
Answered by
6
Given:
A sequence of numbers 2, 10, 30, 68.
To Find:
The next number of the given sequence.
Solution:
The given problem can be solved by developing a common logic between every term.
1. The given series is 2, 10, 30, 68.
2. The first term is obtained using the logic,
=> 2 = 1³ + 1,
3. The second term is obtained using the logic,
=> 10 = 2³ + 2,
4. The third term is obtained using the logic,
=> 30 = 3³ + 3,
5. The fourth term is obtained using the logic,
=> 68 = 4³+4.
6. Every term of the sequence is obtained using the formula,
=> n³+n.
7. Hence, the next term of the sequence is,
=> Fifth term = 5³+5,
=> Fifth term = 120.
Therefore, 120 is the next term of the sequence.
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