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Harlamova29_29 [7]
4 years ago
13

The first five terms of an arithmetic sequence are shown below: 20, 17, 14, 11, 8, . . . Let n represent the term number and f(n

) the term in the sequence.
Mathematics
2 answers:
Annette [7]4 years ago
7 0

The rule of an arithmetic sequence:

a_n=a_1+(n-1)d

a_1 - first term

d - a difference  d=a_n-a_{n-1}

We have:

a_1=20;\ a_2=17;\ a_3=14;\ a_4=11;\ a_5=8;\ ...

a_1=20;\ d=a_2-a_1\to d=17-20=-3

substitute:

a_n=20+(n-1)\cdot(-3)=20-3n+3=-3n+23

Answer: f(n) = -3n + 23

Nataly_w [17]4 years ago
6 0

Answer:

f(n) = -3n + 23

Step-by-step explanation:

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