Find the nth term and the indicated term of the arithmetic s

Find the nth term and the indicated term of the arithmetic sequence (a_n) whose initial term, a, and common difference, d, are given. a_1 = 6; d = 9 a_n = a_13 = ? a_n = -3 - 9n; a_13 = 114 a_n = -3 + 9_n; a_13 = 114 a_n = -3 + 9_n; a_13 = 87 a_n = 6 + 9_n; a_13 = 114

Solution

a₁=6    d=9

nth term is given by

a_n= a₁+ (n-1)d

a₁₃= 6+ 12(9)=114

a_n= 6+(n-1)9= 6+9n-9= -3+9n

Correct option is C