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Find the missing term in the following series:
10, 11, 24, 75, 304, ?
- a)525
- b)725
- c)1525
- d)1025
- e)916
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Find the missing term in the following series:10, 11, 24, 75, 304, ?a)...
Series Analysis:
To find the missing term in the given series, let's analyze the pattern and logic behind the given numbers.
Pattern Analysis:
Looking at the series, we can observe the following pattern:
- The difference between the first and second terms is 1.
- The difference between the second and third terms is 13.
- The difference between the third and fourth terms is 51.
- The difference between the fourth and fifth terms is 229.
Logic Explanation:
To find the missing term, we need to continue the given pattern. Let's break down the logic step by step:
1. The first term is 10.
2. The second term is obtained by adding 1 to the first term: 10 + 1 = 11.
3. The third term is obtained by multiplying the second term by 2 and then adding 2: (11 * 2) + 2 = 24.
4. The fourth term is obtained by multiplying the third term by 3 and then adding 3: (24 * 3) + 3 = 75.
5. The fifth term is obtained by multiplying the fourth term by 4 and then adding 4: (75 * 4) + 4 = 304.
Calculating the Missing Term:
To find the missing term, we need to continue the pattern. Let's apply the logic to the fifth term:
6. The sixth term is obtained by multiplying the fifth term by 5 and then adding 5: (304 * 5) + 5 = 1520 + 5 = 1525.
Therefore, the missing term in the series is 1525, which corresponds to option 'C'.
To find the missing term in the given series, let's analyze the pattern and logic behind the given numbers.
Pattern Analysis:
Looking at the series, we can observe the following pattern:
- The difference between the first and second terms is 1.
- The difference between the second and third terms is 13.
- The difference between the third and fourth terms is 51.
- The difference between the fourth and fifth terms is 229.
Logic Explanation:
To find the missing term, we need to continue the given pattern. Let's break down the logic step by step:
1. The first term is 10.
2. The second term is obtained by adding 1 to the first term: 10 + 1 = 11.
3. The third term is obtained by multiplying the second term by 2 and then adding 2: (11 * 2) + 2 = 24.
4. The fourth term is obtained by multiplying the third term by 3 and then adding 3: (24 * 3) + 3 = 75.
5. The fifth term is obtained by multiplying the fourth term by 4 and then adding 4: (75 * 4) + 4 = 304.
Calculating the Missing Term:
To find the missing term, we need to continue the pattern. Let's apply the logic to the fifth term:
6. The sixth term is obtained by multiplying the fifth term by 5 and then adding 5: (304 * 5) + 5 = 1520 + 5 = 1525.
Therefore, the missing term in the series is 1525, which corresponds to option 'C'.
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Find the missing term in the following series:10, 11, 24, 75, 304, ?a)525b)725c)1525d)1025e)916Correct answer is option 'C'. Can you explain this answer?
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