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Directions to Solve
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question -
625, 5, 125, 25, 25, ?, 5
  • a)
    5
  • b)
    25
  • c)
    125
  • d)
    625
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Directions to Solve ...
The given sequence is a combination of two series :
I. 625, 125, 25, 5 and II. 5, 25, ?
The pattern in I is / 5, while that in II is x 5. So, missing term = 25 x 5 = 125.
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Most Upvoted Answer
Directions to Solve ...
Pattern Analysis:Looking at the given series, we can observe the following pattern:- 625 is 5^4- 5 is 5^1- 125 is 5^3- 25 is 5^2- 25 is 5^2- ? should be 5^x (unknown power of 5)- 5 is 5^1 againSo, the pattern is that each number in the series is a power of 5, except for the unknown number, which is also a power of 5 but with an unknown exponent.Solution:To find the missing number, we need to figure out the exponent of 5 that corresponds to it. We can do this by looking at the previous numbers in the series and noticing the difference in their exponents.- The difference between 625 and 5 is 4 - 1 = 3- The difference between 5 and 125 is 1 - 3 = -2- The difference between 125 and 25 is 3 - 2 = 1- The difference between 25 and 25 is 2 - 2 = 0We can see that the differences are not consistent, so we need to look for another approach. One way to do this is to notice that the series repeats itself after the fourth number (25). This means that the missing number should also follow the same pattern as the first four numbers, which is:- Start with 5^4 = 625- Divide by 5 to get 5^1 = 5- Multiply by 5 to get 5^2 = 25- Multiply by 5 to get 5^3 = 125Therefore, the missing number should be the next number in this pattern, which is:- Multiply by 5 to get 5^4 = 625Hence, the missing number is 625, which is option (d).
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Directions to Solve Choose the correct alternative that will continue the same pattern and replace the question mark in the given series. Question - 625, 5, 125, 25, 25, ?, 5a)5b)25c)125d)625Correct answer is option 'C'. Can you explain this answer?
Question Description
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