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Write an equation for the nth term of the arithmetic sequence. Then find a30.

11, 10, 9, 8,

Sagot :

Answer:

a₃₀ = - 18

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 11 and d = a₂ - a₁ = 10 - 11 = - 1, then

[tex]a_{n}[/tex] = 11 - (n - 1) = 11 - n + 1 = 12 - n , thus

a₃₀ = 12 - 30 = - 18

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