Class 4 Exam > Class 4 Questions > In the sequence 6, 18, 54, __, 486, __, what ...
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In the sequence 6, 18, 54, __, 486, __, what are the missing numbers according to the geometric pattern?
- a)108, 972
- b)162, 1458
- c)216, 1944
- d)324, 2430
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
In the sequence 6, 18, 54, __, 486, __, what are the missing numbers a...
Geometric Pattern:
To find the missing numbers in the given sequence, we need to identify the pattern followed. In this case, the pattern is a geometric sequence, where each term is obtained by multiplying the previous term by a constant.
Identifying the Constant:
To identify the constant, we can divide any term by its previous term. Let's take the second and first terms as an example:
18 ÷ 6 = 3
The constant is 3.
Calculating the Missing Numbers:
Using the constant of 3, we can calculate the missing numbers in the sequence.
- First missing number:
To find the missing number after 54, we multiply it by the constant:
54 × 3 = 162
- Second missing number:
To find the missing number after 486, we multiply it by the constant:
486 × 3 = 1458
Answer:
Therefore, the missing numbers in the given sequence are 162 and 1458.
Option B, which includes these numbers, is the correct answer.
To find the missing numbers in the given sequence, we need to identify the pattern followed. In this case, the pattern is a geometric sequence, where each term is obtained by multiplying the previous term by a constant.
Identifying the Constant:
To identify the constant, we can divide any term by its previous term. Let's take the second and first terms as an example:
18 ÷ 6 = 3
The constant is 3.
Calculating the Missing Numbers:
Using the constant of 3, we can calculate the missing numbers in the sequence.
- First missing number:
To find the missing number after 54, we multiply it by the constant:
54 × 3 = 162
- Second missing number:
To find the missing number after 486, we multiply it by the constant:
486 × 3 = 1458
Answer:
Therefore, the missing numbers in the given sequence are 162 and 1458.
Option B, which includes these numbers, is the correct answer.
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In the sequence 6, 18, 54, __, 486, __, what are the missing numbers a...
In the given geometric pattern, each number is obtained by multiplying 3 with the previous number. Therefore, the missing numbers would be 54 × 3 = 162 and 486 × 3 = 1458.
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In the sequence 6, 18, 54, __, 486, __, what are the missing numbers according to the geometric pattern?a)108, 972b)162, 1458c)216, 1944d)324, 2430Correct answer is option 'B'. Can you explain this answer?
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