(a)
If the 6th term of an A.P. is equal to four times its first term and the sum of first six
terms is 75, find the first term and the common difference.
Answers
Answered by
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Step-by-step explanation:
6th term of an A.P.= a+5d
1st of an A.P.=a
A.T.Q:-
a+5d=4a
5d=3a
d=3a/5
A.T.Q:-
n/2[2a+(n-1)d]=75
6/2[2a+(6-1)3a/5]=75
3[2a+3a]=75
15a=75
a=5
d=3×5/5=3
So a=5 & d=3
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