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Method of Difference

If a n = 5n ...

Question

If a $_{n} = 5 n - 3$ , find first $3$ terms.

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Solution

Given,

$a_{n} = 5 n - 3$

$a_{1} = 2$

$a_{2} = 5 (2) - 3 = 7$

$a_{3} = 5 (3) - 3 = 12$

and, so on,

Therefore the series is,

$2, 7, 12, . . . . . . . . .$

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