1900, 939, ____377,376
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Answered by
17
Answer:
498
Step-by-step explanation:
The given sequence:
1900, 939, ......., 377, 376
To find, the missing number = ?
The pattern follow:
Previous number - 31 × 31(31^{2}31
2
), Previous number - 21 × 21(21^{2}21
2
), Previous number - 11 × 11(11^{2}11
2
), Previous number - 1 × 1(1^{2}1
2
)
931 = 1900 - 31^{2}31
2
= 1900 - 31 × 31 = 1900 - 961 = 939
? = 939 - 21^{2}21
2
= 1900 - 21 × 21 = 939 - 441 = 498
377 = 498 - 11^{2}11
2
= 498 - 11 × 11 = 498 - 121 = 377
376 = 377 - 1^{2}1
2
= 377 - 1 × 1 = 377 - 1 = 376
∴ The missing number = 498
Thus, the missing number is equal to 498.
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