Continue the series: 3, 17, 55, 129, 251
please answer its urgent
Answers
Answer:
The next number in the given series 3, 17, 55, 129, 251 is 433
Step-by-step explanation: To find the next number in the series, we begin by trying to find a trend in the given numbers.
Here, let us check the difference between the given numbers.
- 17 - 3 = 14
- 55 - 17 = 38
- 129 - 55 = 74
- 251 - 129 = 122
Since we do not see any conclusive trend in the differences, we check the difference between the differences now.
Thus, we have,
- 38 - 14 = 24
- 74 - 38 = 36
- 122 - 74 = 48
Thus, we see that the numbers are increasing by 12 in every difference.
Following the trend, the next number in the difference of differences should be,
48 + 12 = 60.
Hence, the next number in the difference list should be,
122 + 60 = 182.
Thus, finally, in the given series, the next number, following the trend would be, 251 + 182 = 433.
The next term is 433.
Step-by-step explanation:
The given series are:
3, 17, 55, 129, 251
To find, the next term = ?
The pattern follow,
Previous number + 14, Previous number + (14 + 24)i.e., 38, Previous number + (38 + 36)i.e., 74, .....
17 = 3 + 14 = 17
55 = 17 + (14 + 24) = 17 + 38 = 55
129 = 55 + (38 + 36) = 55 + 74 = 129
251 = 129 + (74 + 48) = 129 + 122 = 251
Similarly,
The next term = 251 + (122 + 60) = 251 + 182 = 433
Hence, the next term is 433.