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(3) Write programs to display the following numeric series: a. \( \begin{array}{lllll}3 & 33 & 333 & 333 & 33333\end{array} \) b. \( 11111 \quad 1111111 \quad 11 \quad 1 \) c. \( \quad 1 \quad .03 \quad .005 \quad .0007 \quad .00009 \) d. \( \begin{array}{llllll}1 & 4 & 9 & 16 & 25 & 100\end{array} \) e. \( \begin{array}{llllll}1 & 2 & 4 & 7 & 11 & 10^{\text {th }} \text { term }\end{array} \) f. \( 100 \quad 95 \quad 90 \quad 85 \quad 50 \) g. \( \begin{array}{llllllll}1 & 1 & 2 & 3 & 5 & 8 & 10^{\text {th }} \text { term }\end{array} \) h. \( 2 \quad 8 \quad 18 \quad 32 \ldots \) upto \( 10^{\text {th }} \) term i. \( 2 \begin{array}{lllllll} & 2 & 4 & 6 & 10 & 16 & \text { upto } 9^{\text {th }} \text { term }\end{array} \) j. \( 60 \quad 45 \quad 30 \quad 15 \) k. 241248 upto \( 10^{\text {th }} \) term l. \( 182764 \quad 1000 \) m. \( 2,4,8,14, \ldots \quad 10^{\text {th }} \) term n. \( 3,12,27,48 \) \( 10^{\text {th }} \) term

Ask by Wang Peterson. in Nepal
Mar 10,2025

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Here are the programs to display the specified numeric series: a. \( 3, 33, 333, 3333, 33333 \) ```python for i in range(1, 6): print('3' * i, end=' ') ``` b. \( 11111, 1111111, 11, 1 \) ```python numbers = [11111, 1111111, 11, 1] for num in numbers: print(num, end=' ') ``` c. \( 1, 0.03, 0.005, 0.0007, 0.00009 \) ```python numbers = [1, 0.03, 0.005, 0.0007, 0.00009] for num in numbers: print(num, end=' ') ``` d. \( 1, 4, 9, 16, 25, 100 \) ```python numbers = [1, 4, 9, 16, 25, 100] for num in numbers: print(num, end=' ') ``` e. \( 1, 2, 4, 7, 11 \) and \( 10^{\text{th}} \) term ```python series = [1] for i in range(1, 10): series.append(series[-1] + i) print(series[:-1], "10th term:", series[-1]) ``` f. \( 100, 95, 90, 85, 50 \) ```python numbers = [100, 95, 90, 85, 50] for num in numbers: print(num, end=' ') ``` g. \( 1, 1, 2, 3, 5, 8 \) and \( 10^{\text{th}} \) term ```python fib = [1, 1] for i in range(2, 10): fib.append(fib[-1] + fib[-2]) print(fib[:-1], "10th term:", fib[-1]) ``` h. \( 2, 8, 18, 32 \ldots \) up to \( 10^{\text{th}} \) term ```python for i in range(1, 11): print(i * (i + 1), end=' ') ``` i. \( 2, 2, 4, 6, 10, 16 \) up to \( 9^{\text{th}} \) term ```python series = [2, 2] for i in range(2, 9): series.append(series[-1] + series[-2]) print(series) ``` j. \( 60, 45, 30, 15 \) ```python numbers = [60, 45, 30, 15] for num in numbers: print(num, end=' ') ``` k. \( 241248 \) up to \( 10^{\text{th}} \) term ```python number = 241248 for i in range(10): print(number, end=' ') ``` l. \( 182764, 1000 \) ```python numbers = [182764, 1000] for num in numbers: print(num, end=' ') ``` m. \( 2, 4, 8, 14 \ldots \) up to \( 10^{\text{th}} \) term ```python series = [2] for i in range(1, 10): series.append(series[-1] + i * 2) print(series) ``` n. \( 3, 12, 27, 48 \) and \( 10^{\text{th}} \) term ```python series = [] for i in range(1, 11): series.append(i**3 - i) print(series[:-1], "10th term:", series[-1]) ``` These programs will display the specified numeric series as requested.

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Extra Insights

To create the requested numeric series, you'll want to write some delightful little programs. Let’s spark your creativity with two engaging contexts! Coding has a long legacy, dating back to the early 19th century with Ada Lovelace, who is often considered the first computer programmer. The art of programming has evolved throughout history, morphing from intricate calculations on paper to our sleek computer interfaces today! It's fascinating to ponder how algorithms, much like these numerical series, play a role in everything from cryptography to creating artificial intelligence. Now, let’s talk about practical applications! Numeric series can be used in everything from game development, where you might need to calculate scores in levels, to statistics, where sequences can help in data analysis. For example, if you're working on a financial application, understanding these sequences could help you model trends or predict future values! Who knew that a few lines of code could be so powerful?

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