25,196,?, 1936,4225,8100,14161 series
Answers
Answer:
The missing term in this series is 729.
Explanation:
The given question includes a series of terms that are based on a common relation or pattern. In order to find the missing term identity the pattern.
The square root series of given terms is,
5, 14, ?, 44, 65, 90, 119
Find the difference between the known consecutive terms,
1. 5-14= 9
2. 14-x= ?
14-x= ?3. x-44= ?
4. 44-65= 21
5. 65-90= 25
6. 90-119= 29
9, ?, ?, 21, 25, 29
The difference in this new series is of 4.
Therefore, the complete series will be,
9, 13, 17, 21, 25, 29.
Identify the missing term in the square root series,
5, 14, ?, 44, 65, 90, 119.
5(+9), 14(+13), 27(+17), 44(+21), 65(+25), 90(+29), 119.
5, 14, 27, 44, 65, 90, 119.
As we know that the actual series will be the square of each terms of the square root series.
The square of 27 = 729.
Therefore the missing term is 729 and the complete series is,
25, 196, 729, 1936, 4225, 8100, 14161.
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