Question

A wooden ladder is wider at the bottom than at the top and has 10 equally spaced rungs the bottom ring is 22 inches long and the top rung is 14 inches long what is the total length in inches of all the rungs together

Answer 1

180 inches

Explanation:

This is an arithmetiic sequence. The sum of such a sequence is

s(n) = (n/2) * (a1 + an), where a1 is the first term and an is the last (or nth) term.

Here,

s(10/2)(22 + 14) = 5(36) = 180

The total length of the runs is 180 inches.