The 10th term of an AP is 32. If the first term is 3/2, what is the 4th term?

The 10th term of an arithmetic progression (AP) is given as 32, and the first term is 3/2. We need to find the value of the 4th term. We can use the formula to find the nth term of an AP: nth term = a + (n-1)d where a is the first term, d is the common difference, and n is the term we want to find. We can first find the common difference, d, using the formula for the 10th term: 10th term = a + (10-1)d 32 = 3/2 + 9d 29.5 = 9d d = 29.5/9 Now, we can find the 4th term using the same formula: 4th term = 3/2 + (4-1)(29.5/9) 4th term = 3/2 + 3.2778 4th term = 35/6 Therefore, the answer is: 35/3.