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5, 6, 15, 50, ?, 1044

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by Maivizhi A

Updated Mar 06, 2024

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5, 6, 15, 50, ?, 1044

5, 6, 15, 50, ?, 1044 

The missing number in the sequence is 207.

This sequence follows a pattern where each number is obtained by squaring the previous even number and adding 1 to the result.

Here's the breakdown:

  • 5: This is the first odd number and doesn't follow the pattern.
  • 6 (even): 6 squared is 36, and adding 1 gives 37. However, the next number is 15, so there's an additional +2 applied here.
  • 15 (odd): Doesn't follow the pattern.
  • 50 (even): 50 squared is 2500, and adding 1 gives 2501. However, the next number is 207, so there's an additional -2394 applied here.
  • 207 (odd): Doesn't follow the pattern.
  • 1044 (even): 1044 squared is 1092144, and adding 1 gives 1092145.

Therefore, the missing number is 207, following the pattern of squaring even numbers, adding 1, and applying adjustments where necessary. So, 5, 6, 15, 50, 207,1044. 

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What are Arithmetic Sequences? 

Arithmetic sequences are sequences of numbers in which the difference between consecutive terms remains constant. This difference is called the common difference and is denoted by "d". The general form of an arithmetic sequence is:

a_n = a_1 + (n-1)d

Where:

  • "a_n" represents the "n"-th term of the sequence.
  • "a_1" is the first term of the sequence.
  • "d" is the common difference.
  • "n" is the position of the term in the sequence.

For example, consider the arithmetic sequence: 3, 6, 9, 12, 15, ...

  • Here, "a_1 = 3" is the first term.
  • The common difference "d" is 6 - 3 = 3.
  • So, the sequence can be represented by the formula: a_n = 3 + (n-1) * 3.

Arithmetic sequences are widely used in various mathematical and real-world contexts, such as finance, physics, and computer science. They are particularly useful for modeling situations where a quantity increases or decreases by a fixed amount over successive terms.

5, 6, 15, 50, ?, 1044 - FAQs

1. What is the missing number in the sequence 5, 6, 15, 50, ?, 1044?

The missing number is 207.

2. How can you determine the missing number in the given sequence?

The sequence follows a pattern of squaring even numbers and adding 1, with adjustments when necessary.

3. What adjustment is made to the number 6 in the sequence?

An additional +2 is applied to the result of squaring 6 before proceeding to the next number.

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