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Between 1 and 31, m arithmetic means are inserted so that the ratio of 7th and (m-1) th means is 5:9 then, the value of m is:
  • a)
    16
  • b)
    18
  • c)
    12
  • d)
    14
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Between 1 and 31, marithmetic means are inserted so that the ratio of ...
m arithmetic means are inserted between 1 and 31 such that the ratio of 7th and 9th terms of (m-1)th mean is 5:9
We have to find the value of m.
Let x1, x2,xm be the arithmetic means inserted between 1 and 31.They from an arithmetic progression so, the (m+2) th term is  31.
[Using general term of   and substituting r= 8,m]
 
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Between 1 and 31, marithmetic means are inserted so that the ratio of 7thand (m-1)th means is 5:9then, the value of mis:a)16b)18c)12d)14Correct answer is option 'D'. Can you explain this answer?
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