Q. The number of terms in the series 1 + 3 + 5 + 7 + …. + 73 + 75 is :
Answer: 38
Notes: Let the number of terms be n. It is an Arithmetic Series whose first term, a = 1 and common difference d = 2. ∴ n^th term = a + (n - 1) d $latex => 75 = 1 + (n - 1) 2&s=1$ $latex => 2 (n - 1) = 74&s=1$ $latex => n - 1 = \frac{74}{2} = 37&s=1$ $latex => n = 37 + 1 = 38&s=1$ Hence option [C] is the right answer

3