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Help with recursive Arithmetic sequence

Help with recursive Arithmetic sequence-example-1

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Answer:

Slope is 5, y-int is 1, and f(n) = 5n+1

Explanation:

So, since we are dealing with an arithmetic sequence, it is linear. If you notice, it is just adding 5 from the previous term. This represents a slope of 5. Increase of 1 in x and increase of 5 in y. Then, f(1) = 6. Since 1 x 5 is 5, and 5 + 1 = 6, the b is 1. This is because the normal 5x is deviated by 1. Since it is arithmetic, that 1 unit deviation will carry on. The last question basically says just write the y=mx + b but just use n and f(n), which is f(n) = 5n + 1.

User Eli Grey
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