the first term and the last term of an ap are 5 and 45 respectively if the sum of all its term is 400 find it'd common different
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SOLUTION:-
Given:
•The first term & the last term of an A.P. are 5 & 45 respectively.
•The sum of all term is 400.
To find:
The common difference.
Explanation:
We know that, formula of the sum of last term;
•First term,(a)= 5
•Last term,(l)= 45
•Sn= 400
According to the question:
So,
The number of terms is 16.
Now,
The formula use is, Sn=n/2(2a+n-1)d
Thus,
The common difference is 8/3.
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