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what is the 83rd term of the arithmetic sequence {a_n} = {-22, -18, -14,...}

A-350
B302
C306
D354

Verified Answer :

JcAlmighty

The answer is c. 306

Arithmetic sequence is: x(n) = a1 + d(n - 1)
x(83) = ?

{a_n} = {-22, -18, -14,...}
a1 = -22
d = a2 - a1 = -18 - (-22) = - 18 + 22 = 4


x(n) = a1 + d(n - 1)
x(83) = -22 + 4 (83 - 1)
x(83) = -22 + 4 82
x(83) = -22 + 328
x(83) = 306

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