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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 -
In the series 3, 9, 15, ...... what will be the 21st term?
- a)117
- b)121
- c)123
- d)129
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Directions to SolveChoose the correct alternative that will continue t...
Clearly, 3 + 6 = 9, 9 + 6 = 15,.....
So, the series is an A.P. in which a = 3 and d = 6.
Therefore 21st term = a + (21 - 1) d = a + 20d = 3 + 20 x 6 = 123.
Most Upvoted Answer
Directions to SolveChoose the correct alternative that will continue t...
Pattern Analysis:
To find the pattern in the given series, we need to observe the difference between consecutive terms.
The difference between the first and second terms is 9 - 3 = 6.
The difference between the second and third terms is 15 - 9 = 6.
From the above observations, we can see that the difference between consecutive terms is constant and equal to 6.
Pattern:
The pattern can be represented as:
3, 9, 15, 21, ...
Finding the 21st Term:
To find the 21st term in the series, we need to determine the value by adding the constant difference to the last term.
The last term in the given series is 15.
Using the pattern, we can find the 21st term as follows:
15 + (6 x 15) = 15 + 90 = 105.
Therefore, the 21st term in the series is 105.
Explanation of Correct Answer:
The correct answer is option 'C' (123).
The given options are:
a) 117
b) 121
c) 123
d) 129
To confirm the correct answer, let's check if the 21st term is 123 by using the pattern.
Starting from the first term (3), we can calculate the terms in the series as follows:
3, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 75, 81, 87, 93, 99, 105, 111, 117, 123.
As we can see, the 21st term is indeed 123, which matches option 'C'.
Hence, the correct answer is option 'C' (123).
To find the pattern in the given series, we need to observe the difference between consecutive terms.
The difference between the first and second terms is 9 - 3 = 6.
The difference between the second and third terms is 15 - 9 = 6.
From the above observations, we can see that the difference between consecutive terms is constant and equal to 6.
Pattern:
The pattern can be represented as:
3, 9, 15, 21, ...
Finding the 21st Term:
To find the 21st term in the series, we need to determine the value by adding the constant difference to the last term.
The last term in the given series is 15.
Using the pattern, we can find the 21st term as follows:
15 + (6 x 15) = 15 + 90 = 105.
Therefore, the 21st term in the series is 105.
Explanation of Correct Answer:
The correct answer is option 'C' (123).
The given options are:
a) 117
b) 121
c) 123
d) 129
To confirm the correct answer, let's check if the 21st term is 123 by using the pattern.
Starting from the first term (3), we can calculate the terms in the series as follows:
3, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 75, 81, 87, 93, 99, 105, 111, 117, 123.
As we can see, the 21st term is indeed 123, which matches option 'C'.
Hence, the correct answer is option 'C' (123).
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Directions to SolveChoose the correct alternative that will continue the same pattern and replace the question mark in the given series.Question - In the series 3, 9, 15, ...... what will be the 21st term?a)117b)121c)123d)129Correct answer is option 'C'. Can you explain this answer?
Question Description
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Solutions for Directions to SolveChoose the correct alternative that will continue the same pattern and replace the question mark in the given series.Question - In the series 3, 9, 15, ...... what will be the 21st term?a)117b)121c)123d)129Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for LR.
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