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In each of the following questions, a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.


 


Q. 0, 7, 26,  63, ? , 215

  • a)
    123

  • b)
    87

  • c)
    96

  • d)
    124

Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
In each of the following questions, a series is given, with one term m...
Solution:
The given series is:
0, 7, 26, 63, ?

To find the missing term, we need to observe the pattern followed in the given series.

Pattern:
The given series is formed by adding consecutive odd numbers to the previous term of the series.
- The first term of the series is 0.
- To obtain the second term, we add 1 odd number to the first term, i.e., 1, so the second term is 0+1=1.
- To obtain the third term, we add 2 odd numbers to the second term, i.e., 3+3=6, so the third term is 1+6=7.
- To obtain the fourth term, we add 3 odd numbers to the third term, i.e., 5+7+9=21, so the fourth term is 7+21=28.
- To obtain the fifth term, we add 4 odd numbers to the fourth term, i.e., 11+13+15+17=56, so the fifth term is 28+56=84.

Therefore, the missing term in the given series is the sum of 5 odd numbers starting from 19, i.e., 19+21+23+25+27=115.

Hence, the correct answer is option (D) 124.
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Community Answer
In each of the following questions, a series is given, with one term m...
The series followed is x^3-1

so the series goes like:
1^3-1=0
2^3-1= 7
3^3-1=26 and so on

so 5^3-1=124, which is the correct answer
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In each of the following questions, a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.Q.0, 7, 26, 63, ? , 215a)123b)87c)96d)124Correct answer is option 'D'. Can you explain this answer?
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