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Anna71 [15]
3 years ago
8

Which function represents the sequence?

Mathematics
2 answers:
Tom [10]3 years ago
5 0

Answer: SECOND OPTION

Step-by-step explanation:

Substitute any value of <em>n</em> shown in the table attached into each function given in the options, and observe if you obtain the value of a_n shown in the table.

Let's substitute n=1 (According to the table, you need to obtain a_n=3):

<u>For the first option:</u>

f(1)=1+3=4

<u>For the second option:</u>

f(1)=7(1)-4=3  THIS IS THE FUNCTION

<u>For the third option:</u>

f(1)=3(1)+7=10

 <u>For the fourth option:</u>

f(1)=1+7=8

Therefore, the answer is the second option.

Naddik [55]3 years ago
3 0

ANSWER

f(n) = 7n - 4

EXPLANATION

The terms of the sequence are;

3,10,17,24,31,...

This implies that,

a_1=3

The constant difference is

d = 10 - 3 = 7

The nth term of the sequence is;

a_n=a_1+d(n-1)

a_n=3+7(n-1)

a_n=3+7n - 7

a_n=7n-4

Or

f(n) = 7n - 4

The correct choice is B.

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