For Q2) and Q3) use the following formulas as necessary: ∑i=1^n i = (n(n+1))/(2) ∑i=1^n i^2 =

Step 1: We can start by simplifying the inner loop. The inner loop runs from k=4 to i+8, and the

Question

For Q2) and Q3) use the following formulas as necessary: \sum_{i=1}^{n} i = \frac{n(n+1)}{2} \sum_{i=1}^{n} i^2 = \frac{n(n+1)(2n+1)}{6} * In order to receive marks your approach must rely on sigma notation, summation properties and usage of given formula(s). * Answers based on combinatorics will not be accepted. Consider the following programming segment: time = 2000; for (i = 1; i <= n+3; i++) { time = time + 10; for (k = 4; k <= i+8; k++) { time = time + 24k; } } Find the value of the variable time (in terms of n) after the programming segment is executed. Your formula must be in the simplest form, fully expanded and terms combined. (E.g. time = 7n² + 4n + 9) time = \sum

          For Q2) and Q3) use the following formulas as necessary:

\sum_{i=1}^{n} i = \frac{n(n+1)}{2}

\sum_{i=1}^{n} i^2 = \frac{n(n+1)(2n+1)}{6}

*** In order to receive marks your approach must rely on sigma notation, summation properties and usage of
given formula(s). *** Answers based on combinatorics will not be accepted.

Consider the following programming segment:

time = 2000;
for (i = 1; i <= n+3; i++) {
  time = time + 10;
  for (k = 4; k <= i+8; k++) {
    time = time + 24k;
  }
}

Find the value of the variable time (in terms of n) after the programming segment is executed.
Your formula must be in the simplest form, fully expanded and terms combined.
(E.g. time = 7n² + 4n + 9)
time = \sum

For Q2) and Q3) use the following formulas as necessary:

∑i=1^n i = (n(n+1))/(2)

∑i=1^n i^2 = (n(n+1)(2n+1))/(6)

*** In order to receive marks your approach must rely on sigma notation, summation properties and usage of
given formula(s). *** Answers based on combinatorics will not be accepted.

Consider the following programming segment:

time = 2000;
for (i = 1; i <= n+3; i++)
time = time + 10;
for (k = 4; k <= i+8; k++)
time = time + 24k;

Find the value of the variable time (in terms of n) after the programming segment is executed.
Your formula must be in the simplest form, fully expanded and terms combined.
(E.g. time = 7n² + 4n + 9)
time = ∑

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