To find the 25th term of the arithmetic sequence given (3, 9, 15, 21, 27), we first need to identify the common difference and then use the formula for the nth term of an arithmetic sequence.
The first term (a) of the sequence is 3.
The common difference (d) can be calculated as follows:
- 9 – 3 = 6
- 15 – 9 = 6
- 21 – 15 = 6
- 27 – 21 = 6
From this, we can see that the common difference is 6.
The formula for the nth term of an arithmetic sequence is:
A(n) = a + (n – 1) * d
Now, we need to find the 25th term (n = 25):
A(25) = 3 + (25 – 1) * 6
A(25) = 3 + 24 * 6
A(25) = 3 + 144
A(25) = 147
Therefore, the 25th term of the arithmetic sequence is 147.