Which is the 7th term in the sequence of the squares of all odd numbers starting from 1?
144
169
196
200
225
umm, what's the 7th odd number?
2*7-1 = 13
what's 13^2?
169
To find the 7th term in the sequence of the squares of all odd numbers starting from 1, we need to determine the pattern and use it to calculate the specific term.
To find the pattern, let's list out the first few terms in the sequence:
1^2 = 1
3^2 = 9
5^2 = 25
7^2 = 49
9^2 = 81
11^2 = 121
13^2 = 169
15^2 = 225
From the sequence, we can observe that each term is obtained by squaring the next odd number. So, the 7th term will be the square of the 13th odd number.
To find the 13th odd number, we can multiply 13 by 2 and subtract 1, as every odd number can be represented by 2n-1, where n is the position of the number in the sequence.
13 * 2 - 1 = 26 - 1 = 25
Now, we can square 25 to find the 7th term:
25^2 = 625
Therefore, the 7th term in the sequence of the squares of all odd numbers starting from 1 is 625.