Write the nth term rule for the arithmetic sequence with d=−6 and a_12=−4

cuuhorre76

cuuhorre76

Answered question

2022-09-10

Write the nth term rule for the arithmetic sequence with d=−6 and a 12 = - 4

Answer & Explanation

cerfweddrq

cerfweddrq

Beginner2022-09-11Added 15 answers

The nth term rule is given by t n = a + ( n - 1 ) d , so we need to know the first term, a.
t_n=a+(n−1)d
−4=a+(12−1)−6
−4=a−66
62=a
We can now reinsert inside the formula:
t n = a + ( n - 1 ) d
t n = 62 + ( n - 1 ) - 6
t n = 62 - 6 n + 6
t n = 68 - 6 n

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