Write an equation for the nth term of each arithmetic sequence: 45, 30, 15, 0, …

= 60 - 15n

Step-by-step explanation:

The nth term of an arithmetic sequence is

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 45 and d = a₂ - a₁ = 30 - 45 = - 15 , then

= 45 - 15(n - 1) = 45 - 15n + 15 = 60 - 15n

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