Pregunta
(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
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
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.
Solución
Let's break down each part of the problem and write the corresponding programs to display the specified numeric series.
### a. Series: \( 3, 33, 333, 3333, 33333 \)
```python
for i in range(1, 6):
print('3' * i, end=' ')
```
### b. Series: \( 11111, 1111111, 11, 1 \)
```python
numbers = [11111, 1111111, 11, 1]
for num in numbers:
print(num, end=' ')
```
### c. Series: \( 1, 0.03, 0.005, 0.0007, 0.00009 \)
```python
numbers = [1, 0.03, 0.005, 0.0007, 0.00009]
for num in numbers:
print(num, end=' ')
```
### d. Series: \( 1, 4, 9, 16, 25, 100 \)
```python
numbers = [1, 4, 9, 16, 25, 100]
for num in numbers:
print(num, end=' ')
```
### e. Series: \( 1, 2, 4, 7, 11 \) 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. Series: \( 100, 95, 90, 85, 50 \)
```python
numbers = [100, 95, 90, 85, 50]
for num in numbers:
print(num, end=' ')
```
### g. Series: \( 1, 1, 2, 3, 5, 8 \) 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. Series: \( 2, 8, 18, 32 \ldots \) up to \( 10^{\text{th}} \) term
```python
for i in range(1, 11):
print(i * (i + 1), end=' ')
```
### i. Series: \( 2, 2, 4, 6, 10, 16 \) 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. Series: \( 60, 45, 30, 15 \)
```python
numbers = [60, 45, 30, 15]
for num in numbers:
print(num, end=' ')
```
### k. Series: \( 241248 \) up to \( 10^{\text{th}} \) term
```python
number = 241248
for i in range(10):
print(number, end=' ')
```
### l. Series: \( 182764, 1000 \)
```python
numbers = [182764, 1000]
for num in numbers:
print(num, end=' ')
```
### m. Series: \( 2, 4, 8, 14 \ldots \) up to \( 10^{\text{th}} \) term
```python
series = [2]
for i in range(1, 10):
series.append(series[-1] + i * 2)
print(series)
```
### n. Series: \( 3, 12, 27, 48 \) 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. Each program is designed to generate the series according to the rules defined in the problem statement.
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución 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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