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100, 70, 46, 28, __, 10
  • a)
    17
  • b)
    15
  • c)
    20
  • d)
    16
Correct answer is option 'D'. Can you explain this answer?
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100, 70, 46, 28, __, 10a)17b)15c)20d)16Correct answer is option 'D'. C...
1st term = 75
2nd term = 75 + 216 = 75 + 63 = 291
3rd term = 291 + 125 = 291 + 53 = 416
4th term = 416 + 64 = 416 + 43 = 480
5th term = 480 + 27 = 480 + 33 = 507...
The differences are cubes of consecutive natural numbers in decreasing order from 6.
So, the missing term = 507 + 8 = 507 + 23 = 515
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Most Upvoted Answer
100, 70, 46, 28, __, 10a)17b)15c)20d)16Correct answer is option 'D'. C...
Given sequence: 75, 291, 416, 480, 507, ____

To find the missing number in the sequence, we need to identify the pattern in the given numbers.

Explanation:

The difference between consecutive terms in the sequence is not constant, which means it is not an arithmetic progression. Let's check the difference between the differences of consecutive terms.

The differences between consecutive terms are:
216, 125, 64, 27.

The differences between these differences are:
-91, -61, -37.

The differences between these differences are not constant, which means it is not a geometric progression either.

On further observation, we can see that the first difference is increasing by 91, 61, 37 respectively. Hence, the next difference should be 13. So, we can find the next term by adding 13 to the last difference.

Thus, the missing number in the sequence is:
507 + 13 = 520.

Therefore, the correct option is (e) 520.
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100, 70, 46, 28, __, 10a)17b)15c)20d)16Correct answer is option 'D'. C...
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100, 70, 46, 28, __, 10a)17b)15c)20d)16Correct answer is option 'D'. Can you explain this answer?
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