Question

The middle most term(s) of the ap -11,-7,-3,.....,49 is

Answer 1

Answer:

Let total no of terms=n

here,a=-11,d=-7-(-11)=-7+11=4, an=49

an=a+(n-1)d

49=-11+(n-1)4

49+11=(n-1)4

60=(n-1)4

n-1=60/4

n-1=15

n=15+1

n=16

so middle most term=n/2=16/2=8term

now,

a8=a+(n-1)d

a8=-11+(8-1)4

a8=-11+(7)4

a8=11+28

a8=39

hope it will help you.

so middle most term = 39