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Novay_Z [31]
3 years ago
8

Please help me answer c

Mathematics
1 answer:
kakasveta [241]3 years ago
7 0

The solution and the answer are in the photograph.

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Given the sequence 7, 12, 17, 22, ...
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Answer:

option D is true.

Step-by-step explanation:

Given the sequence

7, 12, 17, 22, ...

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

12-7=5,\:\quad \:17-12=5,\:\quad \:22-17=5

The difference between all the adjacent terms is the same

so

d=5

as

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Thus, the nth term of the arithmetic sequence will be:

a_n=5\left(n-1\right)+7

a_n=5n+2

Therefore, option D is true.

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Step-by-step explanation:

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