write program for 1,2,4,7,11,16.....n times
To write a program that generates the sequence 1, 2, 4, 7, 11, 16..., we need to understand the pattern. The difference between consecutive terms in the sequence is increasing by 1:
1
2 = 1 + 1
4 = 2 + 2
7 = 4 + 3
11 = 7 + 4
16 = 11 + 5
We can observe that the difference between the current term and the previous term is the iteration index.
Here's a program in Python that generates the given sequence:
```python
def generate_sequence(n):
sequence = [1] # initialize sequence with the first term
for i in range(1, n):
term = sequence[i - 1] + i
sequence.append(term)
return sequence
# Test the function
n = int(input("Enter the number of terms: "))
sequence = generate_sequence(n)
print(sequence)
```
This program defines a function `generate_sequence(n)` that takes the desired number of terms `n` as an argument and returns the generated sequence as a list. It uses a loop to iterate `n - 1` times and calculates each term based on the pattern we observed earlier. The resulting sequence is stored in the `sequence` list and finally printed.
When you run the program, it will prompt you to enter the number of terms and display the generated sequence based on your input.