Question

find the middle term of A.P. 19,16,13,10....-53

Answer 1

Answer:

-17

Step-by-step explanation:

AP = 19, 16, 13, 10,..., -53

a = 19, d(common difference) = 16 - 19 = -3, Tn = -53

Tn = a + (n - 1)d

-53 = 19 + (n - 1)(-3)

-53 = 19 - 3n + 3

3n = 75

n (total number of terms in the AP) = 25

Now n is odd, therefore median = (n+1)/2 th term

median = (25+1)/2 = 13th term

T13 = 19 + (13 - 1)(-3)

T13 = 19 - 39 + 3

T13 = -17

Middle term = -17