If the 9th term of an Arithmetic Progression(AP) is five times the 5th term, find the relationship between a and d.
Answers
Answered by
55
Using Formula of nth Term
Arithmetic Progression :-
Hence,
9th term will be :-
= a + (9 - 1)d
= a + 8d
5th Term will be :-
= a + (5 -1)d
= a + 4d
Given :-
Hence
9th term
a + 8d = 5(a + 4d)
a + 8d = 5a + 20d
a - 5a = 20d - 8d
-4a = 12d
Hence we get :-
a = -3d
Answered by
39
a = -3d
Given:
In an A.P.
9th term = 5 times of 5th term
To Find:
Relationship between a and d
Solution:
let, the A.P. is
a, a+d, a+2d, a+3d... a+(n-1)d
Here,
According to the question
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