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13. Write a rule for the nth term of the arithmetic sequence. -10, -4, 2, 8,
4 months ago
Q:
13. Write a rule for the nth term of the arithmetic sequence. -10, -4, 2, 8,
Accepted Solution
A:
Answer:[tex] a_n = 6n - 16 [/tex]Step-by-step explanation:[tex] a_1 = -10 [/tex][tex] a_2 = -10 + 6 [/tex][tex] a_3 = -10 + 6 + 6 = -10 + 2 \times 6 [/tex][tex] a_4 = -10 + 6 + 6 + 6 = -10 + 3 \times 6 [/tex][tex] a_n = -10 + (n - 1)6 [/tex][tex] a_n = -10 + 6n - 6 [/tex][tex] a_n = 6n - 16 [/tex]