Question

Find the midterm of A. P. 1,4,7, _ _ _ _ _ 97

Answer 1

Common difference = 4 - 1 = 3


S(n) = a + d(n - 1)

97 = 1 + 3(n - 1)

96 = 3(n - 1)

32 = n - 1

33 = n = number of terms




Mid term = (33 + 1)/2 = 16



16th term = a + 15d

=> 1 + 15(3)

=> 1 + 45

=> 46