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How do you find the explicit formula for the following sequence 41, 46, 51, 56, 61, . . . ?

1 Answer

Apr 12, 2016

The explicit formula of an arithmetic sequence is found by plugging the numbers into the formula $t_{n} = a + (n - 1) d$ $t_n = a+ (n - 1)d$

Explanation:

$t_{n} = 41 + (n - 1) 5$ $t_n = 41 + (n - 1)5$

$t_{n} = 41 + 5 n - 5$ $t_n = 41 + 5n - 5$

$t_{n} = 36 + 5 n$ $t_n = 36 + 5n$

Thus you have your explicit formula.

Hopefully this helps!

Practice exercises:

Find the explicit formula for the following sequence: $34, 27, 20 ...$
Find the explicit formula for the following sequence: $n, n + 2, n + 4 ...$

Good luck!

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