# Arithmetic Progressions

#### Question 5:

A small terrace at a football ground comprises of 15 steps each of which is 50 m long and built of solid concrete.

Each step has a rise of m and a tread of m (See figure) calculate the total volume of concrete required to build the terrace.

#### Answer:

From the figure, it can be observed that

1^{st} step is
m
wide,

2^{nd} step is 1 m wide,

3^{rd} step is
m
wide.

Therefore, the width of each step is increasâ€¦

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