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Direction: What should come in place of question mark ‘?’ in the following number series?
6, 40, 84, 143, 222, ?
  • a)
    234
  • b)
    315
  • c)
    326
  • d)
    290
  • e)
    345
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Direction: What should come in place of question mark ‘?’ in the foll...
Number Series Analysis:
The given number series is 6, 40, 84, 143, 222, ?

Pattern Analysis:
To find the pattern in the given number series, we need to analyze the difference between consecutive terms.

1st difference: 40 - 6 = 34
2nd difference: 84 - 40 = 44
3rd difference: 143 - 84 = 59
4th difference: 222 - 143 = 79

Pattern Observation:
By analyzing the differences, we can observe that the differences are increasing by consecutive odd numbers.

1st difference: 34
2nd difference: 44 (+10)
3rd difference: 59 (+15)
4th difference: 79 (+20)

Calculating the Next Term:
To calculate the next term in the series, we need to continue the pattern of increasing differences.

5th difference: 79 + 20 = 99

To find the next term, we add the 5th difference to the last term in the series.

222 + 99 = 321

Therefore, the next term in the series is 321.

Verifying the Options:
We need to check which option matches the calculated next term.

a) 234 - Incorrect
b) 315 - Incorrect
c) 326 - Correct
d) 290 - Incorrect
e) 345 - Incorrect

Among the given options, option 'C' (326) matches the calculated next term (321).

Conclusion:
The correct answer is option 'C' (326) as it follows the pattern observed in the given number series.
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Community Answer
Direction: What should come in place of question mark ‘?’ in the foll...
The pattern followed here is
The missing term is 326.
Hence, the correct option is (C).
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