Question

The value of the middle most term of the AP : - 15, - 11, - 7, ...57 is

Answer 1

Step-by-step explanation:

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Answer 2

a = -15

d = (a3- a2) = -11-(-7)=-4

last term an = I = 57

nth term formula ~ a + (n-1)d = I

put the value we get

=> -15 + (n-1)×(-4) = 57

=> n-1 = 72/-4 = -18

=> n= -17

so, numbers of term is 17 which is a odd number

middle term = (n+1)/2 = (-16/2)= 8th term

so,middle term of A.P= 8th term

= a + 7d

= -15+ 7×(-4)

= -43