Find a formula for a_nfor the arithmetic sequence. A₁= 16,d = 6 A)a_n= -6n + 22 B)a_n= -6n + 10 C)a_n= 6n - 10 D)a_n= 6n + 10 E)a_n= 6n - 22

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The formula for arithmetic sequence is: an = a1 + (n-1)d where an and a1 are the nth term and the first term, respectively, and d is the common difference. Given, A₁= 16 and d = 6 Substituting these values in the formula: 16 = a1 + (11-1)6 16 = a1 + 60 a1 = -44 So, the formula for the arithmetic sequence is: an = -44 + (n-1)6 Simplifying, an = 6n - 50 Therefore, a_n = a{n} - a{0} = (6n - 50) - (-44) = 6n + 10 Hence, the best choice is D.

Find a Formula for An ​for the Arithmetic Sequence

Find a Formula for A_nfor the Arithmetic Sequence