Question

find the middle most term of the A.P. -11,-7,-3,.......,45

Answer 1

hello users ........

here given that
a= -11
d= -7-(-11) = -7 +11 =4
and An = 45

now,
solution:-
using formula
An = a+(n-1) d

=> 45 = -11 +(n-1) ×4
=> 45 +11 = 4n -4
=> 56 +4 = 4n
=> 4n= 60
=> n = 15


here ,
we have to find the middle term

here ;
there are total 15 terms
then the middle term = 8

now
we have to find a 8 = ?

here using the above formula of An

here
a8 = -11 +( 8-1) ×4 = -11 + 28
= 17 answer

⭐✡ hope it helps ⭐✡