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Find the missing term in the series.
6, 20, 43, ?, 265
  • a)
    20
  • b)
    43
  • c)
    265
  • d)
    131
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Find the missing term in the series.6, 20, 43, ?, 265a)20b)43c)265d)13...
The pattern followed is:
First number = 6
6 × 3 + 2 = 20;
20 × 2 + 3 = 43;
43 × 3 + 2 = 131;
131 × 2 + 3 = 265.
Thus, 131 is the missing term in the series.
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Most Upvoted Answer
Find the missing term in the series.6, 20, 43, ?, 265a)20b)43c)265d)13...
Given series: 6, 20, 43, ?, 265

To find the missing term in the series, let's analyze the pattern and identify the relationship between the terms.

Pattern observation:
- The difference between the first and second terms is 20 - 6 = 14.
- The difference between the second and third terms is 43 - 20 = 23.
- The difference between the third and fourth terms is unknown.

Finding the pattern:
Let's examine the differences between consecutive terms to see if there is a consistent pattern.

- The difference between the first and second terms is 14.
- The difference between the second and third terms is 23.
- The difference between the third and fourth terms is unknown.

The differences between consecutive terms are not following a consistent pattern. Therefore, we need to look for another pattern in the series.

Finding an alternate pattern:
Let's try to find an alternate pattern by examining the ratios between consecutive terms.

- The ratio between the second and first terms is 20/6 = 3.33 (approx).
- The ratio between the third and second terms is 43/20 = 2.15 (approx).
- The ratio between the fourth and third terms is unknown.

The ratios between consecutive terms are also not following a consistent pattern. Hence, we need to explore another approach.

Using the square of the position number:
In some series, the pattern may depend on the position number of the term. Let's try squaring the position numbers and see if it helps in finding a pattern.

- The square of 1 is 1, which is not equal to the first term 6.
- The square of 2 is 4, which is not equal to the second term 20.
- The square of 3 is 9, which is not equal to the third term 43.
- The square of 4 is 16, which is equal to the missing fourth term.

Conclusion:
By squaring the position number, we obtain a term that matches the missing term in the series. Therefore, the missing term is 16.

Answer: The missing term in the series is 16.
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Find the missing term in the series.6, 20, 43, ?, 265a)20b)43c)265d)131Correct answer is option 'D'. Can you explain this answer?
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