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Find the 52nd term of the arithmetic sequence -8 -12 -16

Sagot :

Answer:

a₅₂ = - 212

Step-by-step explanation:

The nth 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 = - 8 and d = a₂ - a₁ = - 12 - (- 8) = - 12 + 8 = - 4 , then

a₅₂ = - 8 + (51 × - 4) = - 8 - 204 = - 212