Mathematics

Mathematics

Problem

An employee starts a job with an annual salary of Rs 2,40,000 and receives a fixed increment of Rs 15,000 each year. Find the employee’s salary in the 8th year.
Intuitive explanation

This is an arithmetic sequence problem—your salary grows by the same fixed amount every year. The key is recognizing that the 8th year's salary is the 8th term of a sequence where the first term is your starting salary and the common difference is your annual increment. Use the arithmetic sequence formula an=a1+(n−1)da_n = a_1 + (n-1)d to jump directly to year 8 without listing all intermediate values.

Intuitive explanation

This is an arithmetic sequence problem—your salary grows by the same fixed amount every year. The key is recognizing that the 8th year's salary is the 8th term of a sequence where the first term is your starting salary and the common difference is your annual increment. Use the arithmetic sequence formula an=a1+(n−1)da_n = a_1 + (n-1)d to jump directly to year 8 without listing all intermediate values.

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