Given two values ‘m’ and ‘n’ and the 5th term of an arithmetic progression is zero. The task is to find the ratio of mth and nth term of this AP.
Input: m = 10, n = 20 Output: 1/3 Input: m = 10, n = 15 Output: 1/2
Approach: Acc. to the statement, 5th term is zero. Now understand the concept with an example. As A5=a+4*d=0.
Now, we have to find ratio of m = 10th term and n = 20th term.
= A + 9 * d
= A5 + 5 * d
= 0 + 5 * d
= 5 * d
= A + 19 * d
= A5 + 15 * d
= 0 + 15 * d
= 15 * d
Now, we have to find ratio, so Ans= A / A
Below is the required implementation:
- Program for N-th term of Arithmetic Progression series
- Arithmetic Progression
- Longest Arithmetic Progression | DP-35
- Longest arithmetic progression with the given common difference
- Program to print Arithmetic Progression series
- Count of AP (Arithmetic Progression) Subsequences in an array
- Check whether Arithmetic Progression can be formed from the given array
- Find the missing number in Arithmetic Progression
- Convert given array to Arithmetic Progression by adding an element
- Minimum De-arrangements present in array of AP (Arithmetic Progression)
- PHP program to print an arithmetic progression series using inbuilt functions
- Longest string in non-decreasing order of ASCII code and in arithmetic progression
- Program for N-th term of Geometric Progression series
- Ratio of mth and nth terms of an A. P. with given ratio of sums
- Sum of series till N-th term whose i-th term is i^k - (i-1)^k
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