Write an explicit formula for an, the nth term of the sequence 35, 38, 41, ...

= 3n + 32

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 38 - 35 = 41 - 38 = 3

This indicates the sequence is arithmetic with n th term ( explicit formula )

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 35 and d = 3 , then

= 35 + 3(n - 1) = 35 + 3n - 3 = 3n + 32

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