3/1 sqaure 5/1 square 2 square 7/ 1 square 2 square 3 square....
Given Sequence:
3/1, 5/1, 2, 7/1, 2, 3
Finding the nth term:
To find the nth term of the given sequence, we need to identify the pattern followed by the numbers.
Pattern:
Observing the given sequence, we can see that the pattern is as follows:
- The first term is obtained by squaring the odd numbers in ascending order: 1^2 = 1, 3^2 = 9, 5^2 = 25, ...
- The second term is obtained by squaring the even numbers in ascending order: 2^2 = 4, 4^2 = 16, 6^2 = 36, ...
- The third term is obtained by squaring the odd numbers in ascending order again: 1^2 = 1, 3^2 = 9, 5^2 = 25, ...
Calculating the 11th term:
To find the 11th term, we need to determine which pattern it falls into.
- The first term is obtained by squaring the odd numbers, so the 11th term will be the 11th odd number squared.
- The 11th odd number is 21 (1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21).
- So, the 11th term is 21^2 = 441.
Verifying the answer:
Now let's calculate the value of the 11th term using the given formula: 11/4.
- Evaluating 11/4 = 2.75.
As we can see, the value obtained from the given formula doesn't match the calculated value of the 11th term, which is 441. Hence, the given answer of 11/4 is incorrect.
Correct Solution:
The correct 11th term of the given sequence is 441.