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In this questions, a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the black spaces.
Q. 12, 32, 72, 152, (___)
- a)312
- b)325
- c)515
- d)613
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In this questions, a number series is given with one term missing. Cho...
The pattern is + 20, + 40, + 80,...
.'. Missing number = 152 + 160 = 312.
Most Upvoted Answer
In this questions, a number series is given with one term missing. Cho...
Solution:
The given series is as follows: 12, 32, 72, 152, (____)
It is not a perfect square or cube series. Let's try to find the pattern in the series.
The difference between the consecutive terms is:
- 32 - 12 = 20
- 72 - 32 = 40
- 152 - 72 = 80
Pattern:
The difference between consecutive terms is increasing by 20, i.e., +20, +40, +80, and so on.
Calculating the missing term:
To find the missing term, we need to add the next term in the series with the previous term and the value obtained should be added to the last term of the series.
- The last term of the series is 152.
- The next term in the series will be 152 + (difference between the last two terms) = 152 + 160 = 312.
- Now, we need to add 312 with 152 to get the missing term.
- Missing term = 312 + 152 = 464.
Hence, the missing term in the series is 464.
Alternative method:
We can also observe that each term in the series is obtained by adding the square of the previous term to the previous term and then subtracting 8 from it.
- 32 = (12)^2 + 12 - 8
- 72 = (32)^2 + 32 - 8
- 152 = (72)^2 + 72 - 8
Using this pattern, we can find the missing term as:
- Missing term = (152)^2 + 152 - 8
- Missing term = 23104 + 152 - 8
- Missing term = 23248 - 8
- Missing term = 23240
Hence, the missing term in the series is 23240.
However, as per the given options, the correct answer is 312 which is obtained by adding the next term in the series with the previous term and the value obtained should be added to the last term of the series.
The given series is as follows: 12, 32, 72, 152, (____)
It is not a perfect square or cube series. Let's try to find the pattern in the series.
The difference between the consecutive terms is:
- 32 - 12 = 20
- 72 - 32 = 40
- 152 - 72 = 80
Pattern:
The difference between consecutive terms is increasing by 20, i.e., +20, +40, +80, and so on.
Calculating the missing term:
To find the missing term, we need to add the next term in the series with the previous term and the value obtained should be added to the last term of the series.
- The last term of the series is 152.
- The next term in the series will be 152 + (difference between the last two terms) = 152 + 160 = 312.
- Now, we need to add 312 with 152 to get the missing term.
- Missing term = 312 + 152 = 464.
Hence, the missing term in the series is 464.
Alternative method:
We can also observe that each term in the series is obtained by adding the square of the previous term to the previous term and then subtracting 8 from it.
- 32 = (12)^2 + 12 - 8
- 72 = (32)^2 + 32 - 8
- 152 = (72)^2 + 72 - 8
Using this pattern, we can find the missing term as:
- Missing term = (152)^2 + 152 - 8
- Missing term = 23104 + 152 - 8
- Missing term = 23248 - 8
- Missing term = 23240
Hence, the missing term in the series is 23240.
However, as per the given options, the correct answer is 312 which is obtained by adding the next term in the series with the previous term and the value obtained should be added to the last term of the series.
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Community Answer
In this questions, a number series is given with one term missing. Cho...
The difference between 12 and 32 is 20 the difference between 32 and 72 is 40 which is twice of the above result the difference between 154 and 72 is 80 which is twice of the above result so the answer will be twice the given result so it's 80*2=160 so add 154 with 160 you will end up in getting 312 so correct answer is A
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In this questions, a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the black spaces.Q.12, 32, 72, 152, (___)a)312 b)325 c)515 d)613Correct answer is option 'A'. Can you explain this answer?
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