The lengths of the rungs in a wooden ladder form an arithmetic progression

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

Problem

The lengths of the rungs in a wooden ladder form an arithmetic progression. The first rung is 45 cm45\,\text{cm} long, and each successive rung is 1.5 cm1.5\,\text{cm} shorter than the previous one. The ladder has 25 rungs in all. (i) Determine the length of the 25th rung. (ii) Calculate the total length of wood required for all 25 rungs.

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