A worker’s weekly wage forms a sequence that depends on the number of weeks he has worked

MATHEMATICS · Multi-part · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

A worker’s weekly wage forms a sequence that depends on the number of weeks he has worked. In the first four weeks he earns ₹450, ₹475, ₹500 and ₹525 respectively. (i) Verify whether the sequence of weekly wages forms an arithmetic progression. Give proper reason. (ii) If the pattern continues, calculate the wage he will earn in the 12th week. (iii) How much more will he earn in the 12th week compared to the 5th week?

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