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A series is given with one term missing. Out of the four alternatives, choose the alternative that will complete the series. (SSC Sub. Ins. 2017)
3, 10, 31, 94, ?
3, 10, 31, 94, ?
- a)197
- b)127
- c)283
- d)317
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A series is given with one term missing. Out of the four alternatives,...
The pattern is as follows : 3 × 3 + 1 = 10
10 × 3 + 1 = 31
31 × 3 + 1 = 94
94 × 3 + 1 = 283
So, the missing number is 283.
10 × 3 + 1 = 31
31 × 3 + 1 = 94
94 × 3 + 1 = 283
So, the missing number is 283.
Most Upvoted Answer
A series is given with one term missing. Out of the four alternatives,...
To find the missing term in the given series, we need to identify the pattern of the series. Let's examine the given series: 3, 10, 31, 94, ?
- **Pattern:**
- The first term, 3, is multiplied by 3 and then increased by 1 to get the second term, 10. (3 * 3 + 1 = 10)
- The second term, 10, is multiplied by 3 and then increased by 1 to get the third term, 31. (10 * 3 + 1 = 31)
- The third term, 31, is multiplied by 3 and then increased by 1 to get the fourth term, 94. (31 * 3 + 1 = 94)
- Following this pattern, we can conclude that the missing term will be obtained by multiplying the previous term by 3 and then increasing it by 1.
- **Calculation:**
- The fourth term, 94, multiplied by 3 and then increased by 1 gives us the missing term.
- (94 * 3) + 1 = 283
Therefore, the missing term in the given series is 283. Hence, the correct answer is option C.
- **Pattern:**
- The first term, 3, is multiplied by 3 and then increased by 1 to get the second term, 10. (3 * 3 + 1 = 10)
- The second term, 10, is multiplied by 3 and then increased by 1 to get the third term, 31. (10 * 3 + 1 = 31)
- The third term, 31, is multiplied by 3 and then increased by 1 to get the fourth term, 94. (31 * 3 + 1 = 94)
- Following this pattern, we can conclude that the missing term will be obtained by multiplying the previous term by 3 and then increasing it by 1.
- **Calculation:**
- The fourth term, 94, multiplied by 3 and then increased by 1 gives us the missing term.
- (94 * 3) + 1 = 283
Therefore, the missing term in the given series is 283. Hence, the correct answer is option C.
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A series is given with one term missing. Out of the four alternatives, choose the alternative that will complete the series. (SSC Sub. Ins. 2017)3, 10, 31, 94, ?a)197b)127c)283d)317Correct answer is option 'C'. Can you explain this answer?
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