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

Apr 12, 2016

The explicit formula of an arithmetic sequence is found by plugging the numbers into the formula ${t}_{n} = a + \left(n - 1\right) d$

#### Explanation:

${t}_{n} = 41 + \left(n - 1\right) 5$

${t}_{n} = 41 + 5 n - 5$

${t}_{n} = 36 + 5 n$

Thus you have your explicit formula.

Hopefully this helps!

Practice exercises:

1. Find the explicit formula for the following sequence: $34 , 27 , 20 \ldots$

2. Find the explicit formula for the following sequence: $n , n + 2 , n + 4 \ldots$

Good luck!