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Relation between Terms, Their Position and Common Difference

The first ter...

Question

The first term of an arithmetic sequence is equal to $200$ and the common difference is equal to $- 10$ . Find the value of the 20th term.

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Solution

Use the value of the common difference $d = - 10$ and the first term $a_{1} = 200$ in the formula for the $n t h$ term given above and then apply it to the $20 t h$ term

$a_{20} = 200 + (- 10) (20 - 1) = 10$

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