
### Instruction: help me answer this question Between 1 and 31, m numbers have been inserted in such a way that the resulting sequence is an A.P. and the ratio of 7th and (m - 1)th numbers is 5:9. Find the value of m., think step by step
### Assistant: Explanation provided in the markdown text outlines the steps to derive the answer. It includes finding the common difference, deriving an equation on the basis of given ratio, and then solving for m. , The answer is The value of m is 11.
