2. Find the general term and 25th term of the sequences
c) 15, 13, 11, 9 ...
93
47
15, 13, 11, 9..find the 25th term
To find the general term, we need to identify the pattern in the sequence. In this case, we can observe that each term is decreasing by 2.
To find the 25th term, we can use the general formula for the nth term of a sequence. Since the first term is 15 and each subsequent term is decreasing by 2, the general term can be expressed as:
an = a1 + (n - 1)d
where an is the nth term, a1 is the first term, n is the position of the term, and d is the common difference.
In this case, a1 = 15 and d = -2. Plugging in these values, we can find the 25th term:
a25 = 15 + (25 - 1)(-2)
= 15 + 24(-2)
= 15 - 48
= -33
Therefore, the general term is an = 15 - 2(n - 1), and the 25th term is -33.