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

1 Answer
Noah G
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#

Explanation:

#t_n = 41 + (n - 1)5#

#t_n = 41 + 5n - 5#

#t_n = 36 + 5n#

Thus you have your explicit formula.

Hopefully this helps!

Practice exercises:

  1. Find the explicit formula for the following sequence: #34, 27, 20 ...#

  2. Find the explicit formula for the following sequence: #n, n + 2, n + 4 ...#

Good luck!

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