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vagabundo [1.1K]
3 years ago
6

Question 18

Mathematics
1 answer:
ira [324]3 years ago
6 0

Answer:

The function which represents this sequence will be:

a_n=-15n+110

Hence, option (A) is true.

Step-by-step explanation:

Given the sequence

95, 80, 65, 50, ...

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

computing the differences of all the adjacent terms

80-95=-15,\:\quad \:65-80=-15,\:\quad \:50-65=-15

As the difference is the same, so

d = -15

as

a_1=95

Thus, substituting d = -15, a_1=95 in the nth term of an arithmetic sequence

a_n=a_1+\left(n-1\right)d

a_n=-15\left(n-1\right)+95

a_n=-15n+110

Therefore, the function which represents this sequence will be:

a_n=-15n+110

Hence, option (A) is true.

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