Question

Worksheet 2 Recurrence Relations and Summations 1) Write a program to find the sum of the following series using python $\sum_{k=0}^{200} 2 \cdot (1.01)^k$ Expected Output: sum = 1277.84 2) Using python, verify that using the following formula (the RHS) gives the same answer as Q1. $\sum_{k=0}^{n-1} a \cdot r^k = \frac{a(r^n - 1)}{r - 1}$

          Worksheet 2 Recurrence Relations and Summations
1) Write a program to find the sum of the following series using python
$\sum_{k=0}^{200} 2 \cdot (1.01)^k$
Expected Output:
sum = 1277.84
2) Using python, verify that using the following formula (the RHS) gives the same answer as Q1.
$\sum_{k=0}^{n-1} a \cdot r^k = \frac{a(r^n - 1)}{r - 1}$

Worksheet 2 Recurrence Relations and Summations
1) Write a program to find the sum of the following series using python
∑k=0^200 2 · (1.01)^k
Expected Output:
sum = 1277.84
2) Using python, verify that using the following formula (the RHS) gives the same answer as Q1.
∑k=0^n-1 a · r^k = (a(r^n - 1))/(r - 1)

Added by Lauren A.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

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Solved by Expert Darrick Lau

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We need to calculate the sum of the series $\sum_{k=0}^{200} 2 \cdot (1.01)^k$ using Python. Show more…

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Worksheet 2: Recurrence Relations and Summations 1) Write a program to find the sum of the following series using Python. Expected Output: sum = 1277.84 2) Using Python, verify that using the following formula (the RHS) gives the same answer as Q1. a(r^n-1) k = 0