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Alex Ar [27]
3 years ago
11

What is the 12th term rule of the linear sequence 13 7 1 -5 -11​

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
3 0

Answer:

<u>-53</u>, f(n) = -6(n-1) + 13

Step-by-step explanation:

given the equation to this linear/arithmetic sequence for the nth term: f(n) = -6(n-1) + 13

f(12) = -6(12-1) + 13

f(12) = -6(11) + 13

f(12) = -66 + 13

f(12) = -53

*substitute and simplify*

______________

f(n) = f(1) + d(n-1)

given f(1) = 13, f(2) = 7, and f(3) = 1

7-13 = 1-7 = <u>-6</u> = d

= f(1) + d(n-1)

f(1) = <u>13</u> so

the equation must be f(n) = <u>13</u> <u>-</u><u> </u><u>6</u>(n-1) or -6(n-1) + 13

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