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Directions: In each of the following questions, a number series is given with one missing term. Choose correct alternative that will continue the same pattern and fill in the blank spaces.
2, 7, 27, 107, 427, __
- a)1262
- b)1707
- c)4027
- d)4207
Correct answer is option 'B'. Can you explain this answer?
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Directions: In each of the following questions, a number series is giv...
The pattern is + 5, + 20, + 80, + 320, ...... i.e. + (5 × 12), + (5 × 22), + (5 × 42), + (5 × 82),.....
So, missing term = 427 + (5 × 162) = 427 + 1280 = 1707
So, missing term = 427 + (5 × 162) = 427 + 1280 = 1707
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Directions: In each of the following questions, a number series is giv...
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Directions: In each of the following questions, a number series is giv...
To find the missing term in the given number series, let's analyze the pattern:
1. Difference between consecutive terms:
- The difference between the first and second terms is 7 - 2 = 5.
- The difference between the second and third terms is 27 - 7 = 20.
- The difference between the third and fourth terms is 107 - 27 = 80.
- The difference between the fourth and fifth terms is 427 - 107 = 320.
2. Relationship between consecutive terms:
- Each term is obtained by multiplying the previous term by 4 and subtracting 1.
- For example, the second term (7) is obtained by multiplying the first term (2) by 4 and subtracting 1: 2 * 4 - 1 = 7.
- Similarly, the third term (27) is obtained by multiplying the second term (7) by 4 and subtracting 1: 7 * 4 - 1 = 27.
3. Applying the pattern to find the missing term:
- To find the missing term, we need to apply the same pattern.
- The fifth term is obtained by multiplying the fourth term (107) by 4 and subtracting 1: 107 * 4 - 1 = 427.
- Therefore, the missing term is obtained by multiplying the fifth term (427) by 4 and subtracting 1: 427 * 4 - 1 = 1707.
Therefore, the missing term in the given number series is 1707, which corresponds to option B.
1. Difference between consecutive terms:
- The difference between the first and second terms is 7 - 2 = 5.
- The difference between the second and third terms is 27 - 7 = 20.
- The difference between the third and fourth terms is 107 - 27 = 80.
- The difference between the fourth and fifth terms is 427 - 107 = 320.
2. Relationship between consecutive terms:
- Each term is obtained by multiplying the previous term by 4 and subtracting 1.
- For example, the second term (7) is obtained by multiplying the first term (2) by 4 and subtracting 1: 2 * 4 - 1 = 7.
- Similarly, the third term (27) is obtained by multiplying the second term (7) by 4 and subtracting 1: 7 * 4 - 1 = 27.
3. Applying the pattern to find the missing term:
- To find the missing term, we need to apply the same pattern.
- The fifth term is obtained by multiplying the fourth term (107) by 4 and subtracting 1: 107 * 4 - 1 = 427.
- Therefore, the missing term is obtained by multiplying the fifth term (427) by 4 and subtracting 1: 427 * 4 - 1 = 1707.
Therefore, the missing term in the given number series is 1707, which corresponds to option B.
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Directions: In each of the following questions, a number series is given with one missing term. Choose correct alternative that will continue the same pattern and fill in the blank spaces.2, 7, 27, 107, 427, __a)1262b)1707c)4027d)4207Correct answer is option 'B'. Can you explain this answer?
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Solutions for Directions: In each of the following questions, a number series is given with one missing term. Choose correct alternative that will continue the same pattern and fill in the blank spaces.2, 7, 27, 107, 427, __a)1262b)1707c)4027d)4207Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 7.
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