Q6) Use any method to prove or disprove the following: 1+ n + n^2 + .. +...
azi.vbQ6) Use any method to prove or disprove the following:
1+ n + n^2 + .. + n^m = O(n^m).
Q7) Use any method to simplify each of the following by replacing the
sum with a closed formula or a function in n.
- O(1 + 2 + 3 +... + n).
- O(2 + 4 + 6 +... + 2n).
- O(1+ a + a^2 +... + a^(n-1)), where a is a constant not equal to 1.
- O(a+ a^2 + a^3 + .. + a^n), where a is a constant not equal to 1.
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