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
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- Ratio of mth and nth terms of an A. P. with given ratio of sums
- Find the Nth term of the series where each term f[i] = f[i - 1] - f[i - 2]
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