CAT Exam > CAT Questions > 3,6, 15, 45, 157, 630, 2835a)6b)45c)157d)15e)...
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3, 6, 15, 45, 157, 630, 2835
- a)6
- b)45
- c)157
- d)15
- e)630
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
3,6, 15, 45, 157, 630, 2835a)6b)45c)157d)15e)630Correct answer is opti...
The solution is :
3 * 2 = 6
6 * 2.5 = 15
15 * 3 = 45
45 * 3.5 = 157.5 ≠ 157
157.5 * 4 = 630
630 * 4.5 = 2835
Therefore, wrong no. is 157
3 * 2 = 6
6 * 2.5 = 15
15 * 3 = 45
45 * 3.5 = 157.5 ≠ 157
157.5 * 4 = 630
630 * 4.5 = 2835
Therefore, wrong no. is 157
Most Upvoted Answer
3,6, 15, 45, 157, 630, 2835a)6b)45c)157d)15e)630Correct answer is opti...
The solution is :
3 * 2 = 6
6 * 2.5 = 15
15 * 3 = 45
45 * 3.5 = 157.5 ≠ 157
157.5 * 4 = 630
630 * 4.5 = 2835
Therefore, wrong no. is 157
3 * 2 = 6
6 * 2.5 = 15
15 * 3 = 45
45 * 3.5 = 157.5 ≠ 157
157.5 * 4 = 630
630 * 4.5 = 2835
Therefore, wrong no. is 157
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Community Answer
3,6, 15, 45, 157, 630, 2835a)6b)45c)157d)15e)630Correct answer is opti...
To find the pattern and determine the next number in the sequence, let's examine the given numbers closely.
1. Identify the Differences:
- The difference between the second and first number is 6 - 3 = 3.
- The difference between the third and second number is 15 - 6 = 9.
- The difference between the fourth and third number is 45 - 15 = 30.
- The difference between the fifth and fourth number is 157 - 45 = 112.
- The difference between the sixth and fifth number is 630 - 157 = 473.
2. Identify the Second Differences:
- The difference between the second difference of the third number and the first difference of the second number is 9 - 3 = 6.
- The difference between the second difference of the fourth number and the first difference of the third number is 30 - 9 = 21.
- The difference between the second difference of the fifth number and the first difference of the fourth number is 112 - 30 = 82.
- The difference between the second difference of the sixth number and the first difference of the fifth number is 473 - 112 = 361.
3. Identify the Third Differences:
- The difference between the second difference of the fourth number and the first difference of the third number is 21 - 6 = 15.
- The difference between the second difference of the fifth number and the first difference of the fourth number is 82 - 21 = 61.
- The difference between the second difference of the sixth number and the first difference of the fifth number is 361 - 82 = 279.
4. Analyze the Pattern:
- From the third differences, we can observe that the differences are increasing by 15, 61, and 279.
- The increasing differences suggest that the sequence may involve exponential growth or multiplication.
5. Determine the Next Number:
- To find the next number, we can apply the pattern observed.
- The difference between the second difference of the seventh number and the first difference of the sixth number can be calculated as follows:
279 + 15 = 294.
- Adding this difference to the last given number:
630 + 294 = 924.
Therefore, the next number in the sequence is 924.
1. Identify the Differences:
- The difference between the second and first number is 6 - 3 = 3.
- The difference between the third and second number is 15 - 6 = 9.
- The difference between the fourth and third number is 45 - 15 = 30.
- The difference between the fifth and fourth number is 157 - 45 = 112.
- The difference between the sixth and fifth number is 630 - 157 = 473.
2. Identify the Second Differences:
- The difference between the second difference of the third number and the first difference of the second number is 9 - 3 = 6.
- The difference between the second difference of the fourth number and the first difference of the third number is 30 - 9 = 21.
- The difference between the second difference of the fifth number and the first difference of the fourth number is 112 - 30 = 82.
- The difference between the second difference of the sixth number and the first difference of the fifth number is 473 - 112 = 361.
3. Identify the Third Differences:
- The difference between the second difference of the fourth number and the first difference of the third number is 21 - 6 = 15.
- The difference between the second difference of the fifth number and the first difference of the fourth number is 82 - 21 = 61.
- The difference between the second difference of the sixth number and the first difference of the fifth number is 361 - 82 = 279.
4. Analyze the Pattern:
- From the third differences, we can observe that the differences are increasing by 15, 61, and 279.
- The increasing differences suggest that the sequence may involve exponential growth or multiplication.
5. Determine the Next Number:
- To find the next number, we can apply the pattern observed.
- The difference between the second difference of the seventh number and the first difference of the sixth number can be calculated as follows:
279 + 15 = 294.
- Adding this difference to the last given number:
630 + 294 = 924.
Therefore, the next number in the sequence is 924.
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Question Description
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