Find the indicated terms in each of the following sequences whose $n$ th terms are $a_{n} = 5 n - 4; a_{12}$ and $a_{15}$

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Solution

The $n^{t h}$ term of the sequence is

$a_{n} = 5 n - 4 . . . . . . . . . . . . . . . . . . . e q (1)$

1) To find the twelfth term of sequence $(a_{12})$ put n=12 in eq(1)
$⟹ a_{12} = 5 \times 12 - 4$
$⟹ a_{12} = 60 - 4$
$⟹ a_{12} = 56$

2)To find the fifteenth term of sequence $(a_{15})$ put n=15 in eq(1)
$⟹ a_{15} = 5 \times 15 - 4$
$⟹ a_{15} = 75 - 4$
$⟹ a_{15} = 71$

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