Answer:
To find the 9th term of the given sequence, we need to determine the pattern or rule that governs the sequence. Let's examine the given terms:
3, 5, 25/3
From the first term (3) to the second term (5), we can observe that each term is obtained by adding 2 to the previous term.
From the second term (5) to the third term (25/3), we can observe that each term is obtained by multiplying the previous term by 5/3.
Using this pattern, we can continue to find the subsequent terms:
5 + 2 = 7
(5/3) * (5/3) = 25/9
(25/9) * (5/3) = 125/27
Continuing this pattern, we can find the 9th term:
(125/27) * (5/3) = 625/81
Therefore, the 9th term of the given sequence is 625/81.
Explanation: