What is the sequence for a(n) = -23 + 17(n+1)

Question

Write the arithmetic sequence using the given general term

Answer 1

an= -23 +17(n+1)

a1 = -23 +17(2) = -23+34 = 11

a2 = -23+17(3) = -23+51 = 28

a3 = -23 +17(4) = -23+68= 45

11, 28, 45, 62, 79, 96, 113, 130, 147, 164, ...

an = a1 +(n-1)d = 11+17(n-1) = 11+17n-17 = -6 +17n = 17n-6

an = 17n-6

a1 = 17-6= 11

a2 =17(2)-6= 34-6= 28

a3= 17(3)-6) = 51-6= 45

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