127,128,136,163,227,…
Answers
Answer:
352
Step-by-step explanation:
127+1=128
128+8=136
136+27=163
163+64=227
Since all the second no.(i.e. 1,8,27.64) are cubic no. hence
227+125=352
Given:
A series of numbers 127, 128, 136, 163, 227.
To Find:
The next two terms of the given series.
Solution:
The given problem can be solved by developing a common logic between every term.
1. The given series is 127, 128, 136, 163, 227.
2. The second term is obtained using the logic,
=> 128 = 127 + 1³.
3. The third term is obtained using the logic,
=> 136 = 128 + 2³.
4. The fourth term is obtained using the logic,
=> 163 = 136 + 3³.
5. The fifth term is obtained using the logic,
=> 227 = 163 + 4³.
6. Similarly, the next terms can be found using the same loigc,
=> Sixth term = 227 + 5³,
=> Sixth term = 227 + 125 = 349.
7. The seventh term can also be found using the same logic,
=> Seventh term = 349 + 6³,
=> Seventh term = 349 + 216 = 565.
Therefore, the updates series is 127, 128, 136, 163, 227, 349, 565, and so on.