1 Consider the sequence {a} = 1, 1 1 1 (a) Write the sequence using a recurrence relation. (b) Use summation notation to write an expression for the sum of the first n elements of the sequence.
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- 1 Consider the sequence {a} = 1, 1 1 1 (a) Write the sequence using a recurrence relation. (b) Use summation notation to write an expression for the sum of the first n elements of the sequence.t(1) = 5 , t(n) = t(n/2) substitution recurrence relationWrite the query for implementing the following functions: MAX(),MIN(),AVG(),COUNT() Write the query to implement the concept of Intergrity constrains
- Function Name: odd_even_diagParameters: a 2D list (list of lists)Returns: list of lists Description: Given a 2-dimensional matrix (list of lists) with any size (n*n), modify it according to the following rules: Find the sum of the main diagonal. If the sum is an odd number, change all the values of the given matrix (except the main diagonal) to 0. If the sum is an even number, change all the values of the given matrix (except the main diagonal) to 1. Return the resulting matrix. Example 1:If argument is: [[1, 2], [4, 3]] odd_even_diag should return: [[1, 1], [1, 3]] because the sum 1 + 3 is even. Example 2:If argument is: [[1, 2, 3], [4, 5, 6], [7, 8, 9]] odd_even_diag should return: [[1, 0, 0], [0, 5, 0], [0, 0, 9]] because the sum 1 + 5 + 9 is odd.only needed to complete the get_neighbours() functionWhoever must play, cannot play def subtract_square(queries): Two players play a game of "Subtract a square", starting with a positive integer. On their turn to play, each player must subtract some square number (1, 4, 9, 16, 25, 36, 49, ...) from the current number so that the result does not become negative. Under the normal play convention of these games, the player who moves to zero wins, leaving his opponent stuck with no possible moves. (In the misère version of the game that has otherwise identical rules but where you win by losing the original game, these definitions would be adjusted accordingly.) This and many similar combinatorial games can be modelled with recursive equations. This game is an example of an impartial game since the moves available to both players are exactly the same, as opposed to “partisan games” such as chess where each player can only move pieces of one colour. A game state is therefore determined by the remaining number alone, but not by which player has…
- * The statement y = sortrows(x, 3) arranges the elements of the third column of the table x in an .ascending order True O False The statement (if x >= 1 && x <= 2; y = log(x) ; end ) evaluates the natural logarithm of (x) .between 1 and 2 True False OThe order of operands is important for EXCEPT (MINUS) searches, but not for UNION queries.Use recurrence relation: T(n) = T(n – 1) + n if n > 1 T(n) = 1 if n = 1 Use the substitution method with a guess of cn². Sub.Remainder: What is the remainder after substituting in the guess? Enter an expression
- Ex: Find the intersection of FA2 and FA3. Generate the RE. Why the table is wrong I tried to do the according to the given example. What did I do wrong?By using chapter 2 & 3 onlyTails Function Purpose: Produce a new column-based ( e.g. dict[str, list[str]] ) table with only the first N (a parameter) rows of data for each column. * Function name: Tails Parameters: 1. dict[str, list[str]] - a column-based table of data that_will not be mutated_ 2. int - The number of "rows" to include in the resulting list * Return type: dict[str, list[str]] Implementation strategy: 1. Establish an empty dictionary that will serve as the returned dictionary this function is building up. 2. Loop through each of the columns in the first row of the table given as a parameter. 1. Inside of the loop, establish an empty list to store each of the first N values in the column. 2. Loop through the first N items of the table's column, 1. Appending each item to the previously list established in step 2.1. 3. Assign the produced list of column values to the dictionary established in step 1. 3. Return the dictionary.