Given the algorithm below and an input [1,6,2,7,5,8,4,3][1,6,2,7,5,8,4,3], determine the value of mm after the body of the "for loop" (line 2 to line 6) is executed 4 times.

procedure Alg1(A): A is a list of n integers

1    m = A[0]

2    for i = 1 to n-1

3        if m < A[i] then 

4            m = A[i]

5        end of if

6    end of for

7    return m

Calculate the value of the following expression:

3∑i=13∏j=i(2×i+3×j)\displaystyle \sum_{i=1}^3 \prod_{j=i}^3 (2 \times i + 3 \times j)

Calculate the value of the following expression:

3∑i=13∏j=1(2×i+3×j)\displaystyle \sum_{i=1}^3 \prod_{j=1}^3 (2 \times i + 3 \times j)

Suppose a sequence is defined as:

a0a0a_0 = 4

ai=2×ai−1+4a_i = 2 \times a_{i-1} + 4 for all i≥1i \geq 1

Determine aia_i when ii is 2.

Calculate the value of the following expression:

3∑i=1i∏j=1(2×i+3×j)3∑i=1i∏j=1(2×i+3×j)\displaystyle \sum_{i=1}^3 \prod_{j=1}^i (2 \times i + 3 \times j)

Calculate the value of the following expression:

3∑i=1i∑j=1(2×i+3×j)\displaystyle \sum_{i=1}^3 \sum_{j=1}^i (2 \times i + 3 \times j)

Calculate the value of the following expression:

3∑i=13∑j=i(2×i+3×j)\displaystyle \sum_{i=1}^3 \sum_{j=i}^3 (2 \times i + 3 \times j)

Suppose a sequence is defined as:

a0a_0 = 3

ai=2×ai−1+3a_i = 2 \times a_{i-1} + 3 for all i≥1i \geq 1

Determine aia_i when ii is 3.

Suppose a sequence is defined as:

a0a_0 = 9

ai=2×ai−1+5a_i = 2 \times a_{i-1} + 5 for all i≥1i \geq 1

Determine aia_i when ii is 3.