complete...3,7,47,2207,?
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4870512
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4870936
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4871400
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4870847
The pattern is: each term equals the previous term squared minus 2. Starting with 3: 3^2 - 2 = 7, then 7^2 - 2 = 47, then 47^2 - 2 = 2207, and finally 2207^2 - 2 = 4,870,847. Options A (4,870,512), B (4,870,936), and C (4,871,400) are close but incorrect calculations.
To find the missing number in the sequence 3, 7, 47, 2207, we need to identify the pattern or rule that governs the sequence. By observing the given numbers, we can see that each number is obtained by raising the previous number to the power of 2 and then subtracting 1.
Let's go through each option to determine which one fits the pattern:
Option A) 4870512 - This option does not fit the pattern because it is not obtained by raising the previous number to the power of 2 and subtracting 1.
Option B) 4870936 - This option does not fit the pattern because it is not obtained by raising the previous number to the power of 2 and subtracting 1.
Option C) 4871400 - This option does not fit the pattern because it is not obtained by raising the previous number to the power of 2 and subtracting 1.
Option D) 4870847 - This option fits the pattern because it is obtained by raising the previous number (2207) to the power of 2 and subtracting 1:
4870847 = (2207^2) - 1
Therefore, the correct answer is D) 4870847.