CAT Question of the Day Consider the increasing sequence - 1, 3, 4, 9, 10, 12, 13… and so on. The sequence consists of all those positive integers which are powers of 3 or sum of distinct powers of 3.
Find the 100th term of the sequence.
| OPTIONS | | | | 1) | 978 | | 2) | 981 | | 3) | 932 | | 4) | 987 | | 5) | None of these |
Tip of the Day If [x] denotes the greatest integer less than or equal to x, then for any positive integer, n,
[(n + 1)/2] + [(n + 2)/4] + [(n + 4)/8] + ... = n Last year's Question of the day (15-Sep-11) Identify the correct nature of and the relationship between statements a and b. b) For non-negative numbers, arithmetic mean is greater than or equal to geometric mean. | OPTIONS | | | | 1) | a and b both are correct. b is the correct explanation of a. | | 2) | a and b both are correct. b is not the correct explanation of a. | | 3) | a is incorrect. b is correct. | | 4) | a and b are both incorrect. |
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