The ratio of the sum of n terms of two aps is (4n+2):(3n+47). Find the ratio of their 9th term
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The ratio of 9th term is 5: 7
Step-by-step explanation:
Given : The ratio of n terms of two A.P. is (4n+2):(3n+47)
To find: The ratio of 9th term
As we know the sum of n terms of an A.P. is
where a is first term , d is common difference and n is number of terms of an A.P.
Now let a and d are the first term and common difference of 1st A.P. and a' and d' is the first term and common difference of 2nd A.P.
According to question we have
Now for 9th term put n = 19
we get
Hence the ratio of 9th term is 5: 7
#Learn more
The ratio of the 5th and 3rd terms of an A.P. is 2:5. Find the ratio of the 15th and 7th term.
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