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Choose the correct alternative from the given ones that will complete the series.
3, 4, 12, 16, 48, ___
3, 4, 12, 16, 48, ___
- a)56
- b)64
- c)80
- d)172
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Choose the correct alternative from the given ones that will complete ...
**Explanation:**
The given series is: 3, 4, 12, 16, 48, ___
To find the pattern in the series, let's look at the differences between consecutive terms:
4 - 3 = 1
12 - 4 = 8
16 - 12 = 4
48 - 16 = 32
By observing the differences, we can see that each term is obtained by multiplying the previous difference by 2:
1 * 2 = 2
8 * 2 = 16
4 * 2 = 8
Now, let's calculate the difference between 48 and the missing term:
48 - ___ = ?
To find the missing term, we need to divide 48 by 2:
48 / 2 = 24
Therefore, the missing term is 24. Adding this term to the series, we get:
3, 4, 12, 16, 48, 24
Now, let's look at the differences between consecutive terms again:
4 - 3 = 1
12 - 4 = 8
16 - 12 = 4
48 - 16 = 32
24 - 48 = -24
This time, the difference between the last two terms is -24. By observing the differences again, we can see that each term is obtained by multiplying the previous difference by 2:
1 * 2 = 2
8 * 2 = 16
4 * 2 = 8
32 * 2 = 64
Therefore, the next term in the series is 64.
Hence, the correct alternative is option 'B' - 64.
The given series is: 3, 4, 12, 16, 48, ___
To find the pattern in the series, let's look at the differences between consecutive terms:
4 - 3 = 1
12 - 4 = 8
16 - 12 = 4
48 - 16 = 32
By observing the differences, we can see that each term is obtained by multiplying the previous difference by 2:
1 * 2 = 2
8 * 2 = 16
4 * 2 = 8
Now, let's calculate the difference between 48 and the missing term:
48 - ___ = ?
To find the missing term, we need to divide 48 by 2:
48 / 2 = 24
Therefore, the missing term is 24. Adding this term to the series, we get:
3, 4, 12, 16, 48, 24
Now, let's look at the differences between consecutive terms again:
4 - 3 = 1
12 - 4 = 8
16 - 12 = 4
48 - 16 = 32
24 - 48 = -24
This time, the difference between the last two terms is -24. By observing the differences again, we can see that each term is obtained by multiplying the previous difference by 2:
1 * 2 = 2
8 * 2 = 16
4 * 2 = 8
32 * 2 = 64
Therefore, the next term in the series is 64.
Hence, the correct alternative is option 'B' - 64.
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Community Answer
Choose the correct alternative from the given ones that will complete ...
Here digits when multiplied by 4 gives.. third digit as 3×4=12
4×4=16
12×4=48
similarly
16×4=64
4×4=16
12×4=48
similarly
16×4=64
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Choose the correct alternative from the given ones that will complete the series.3, 4, 12, 16, 48, ___a) 56 b) 64 c) 80 d) 172 Correct answer is option 'B'. Can you explain this answer?
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