the ratio of 6th and 8th term of an A.P is 7:9 find the ratio of 9th term to 13th term
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Answers
Answered by
64
Answer:
5:7
Step-by-step explanation:
let 6th term= 7x and 8th term= 9x
a+5d= 7x-----------1
a+7d= 9x ------2
subtracting 2 from 1
-2d= -2x
d= x
7x= a+5x
a= 2x
9th term: 13th term
a+ 8d : a+12d
2x + 8x : 2x+ 12x
10x: 14x
5:7
Answered by
54
Answer: The required ratio of the 9th term to 13th term is 5 : 7.
Step-by-step explanation: Given that the ratio of 6th and 8th term of an A.P is 7 : 9.
We are to find the ratio of 9th term to 13th term.
We know that
the n-th term of an A.P. with first term a and common difference d is given by
According to the given information, we have
Therefore, the ratio of the 9th term to 13 term will be
Thus, the required ratio of the 9th term to 13th term is 5 : 7.
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