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

Question:

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.

Answer and Explanation: 1

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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...

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Arithmetic Formulas: Definition & Examples

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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.

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