In an AP with 20 terms the middle term are 49 and 53 . then find last term
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Step-by-step explanation:
GIVEN:-
n=20
l=?
middle terms=A10=49
=A11=53
A10=a+9d------------(1)
A11=a+10d------------(2)
by eliminating method
a+ 9d=49
a+10d=53
________
-d= -4
d=4
------
substitute d value in eq^n (1)
49=a+9d
49=a+9(4)
49=a+38
49-38=a
11=a
a=11
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Now,finding last term:-
an=a+(n-1)d
=11+(20-1)4
=11+(19)4
=11+76
=87
therefore,last term an=(l)=87
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