The first term of an ap is 5
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The first term of an A.P. is 5, the last term is 45 and the sum of all its terms is 400. Find the number of terms and the common difference of the A.P.
Answered by admin @
Answer:
Values of n = 16 and
Values of n = 16 and d = 8/3
Step-by-step explanation:
Let a , d , l are first term , common difference and last term of an A.P , respectively.
given ,
a = 5, l = 45
We know that,
Substitute values of a and l , we get,
=> 45 = 5+(n-1)d
=> 45-5 = (n-1)d
=> (n-1)d=40 ----(1)
\* given *\
Now ,
Substitute n=16 in equation (1), we get
(16-1)d = 40
=> 15d =40
=> d = 40/15
=> d = 8/3
Therefore,
Values of n = 16 and
d = 8/3
••••
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