# One walker was sponsored $100 plus$5 for the first kilometre, $10 for the second kilometre,$15...

One walker was sponsored {eq}$100 {/eq} plus {eq}$5 {/eq} for the first kilometre, {eq}$10 {/eq} for the second kilometre, {eq}$15 {/eq} for the third kilometre, and so on. How far would this walker need to walk to earn {eq}$150 {/eq}? ## Arithmetic progression : We have to find the distance walked by the walker to earn$150. It is an example of arithmetic progression. We will use the formula of sum of arithmetic progression,{eq}{S_n} = \frac{n}{2}\left[ {2a + \left( {n - 1} \right)d} \right] {/eq}, where "a" be first term and d be common difference. Use it to get the desired result.

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When the walker start to walk, then he has 100 dollar. Now, he need to earn more 50 dollar to reach his 150 dollar limit. He is getting addition 5... Arithmetic Formulas: Definition & Examples

from

Chapter 26 / Lesson 7
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Learn to define what an arithmetic sequence is and discover the arithmetic sequence formula. Learn to find the nth term and sum of arithmetic sequences with examples.