HELP DUE AT 11:59!!!!!
1.Write the arithmetic sequences that would find the nth term.
2.Using the formula you created, what is the 15th term?

Answer:

f(n) = 155 - 14(n-1) [Question 1, Arithmetic sequence]

f(15) = -41 [Question 2, 15th term]

Step-by-step explanation:

Given the explicit formula for an arithmetic sequence: f(n) = f(1) + d(n-1).

Where d is the common difference, f(n) is the nth term, and f(1) is the first term.

Given that the first term f(1) is 155 from the table since 1 is n, and 155 is f(n). And the second term f(2) is 141 since n is 2, and 141 is under f(n) on the table when n is 2.

Subtract the two terms to find the common difference: d = f(2) - f(1) = f(3) - f(2) = f(4) - f(3) = ...

d is 155-141= -14.

Remember how the first term in the sequence is 155, and how d is -14, we can make this into an equation:

f(n) = f(1) + d(n-1) → f(n) = 155 - 14(n-1).

We can test this by matching the equation by input, and output to the table:

f(1) = 155 - 14(1-1) = 155

f(2) = 155 - 14(2-1) = 155 - 14 = 141

f(3) = 155 - 14(3-1) = 155 - 28 = 127

f(4) = 155 - 14(4-1) = 155 - 42 = 113

f(5) = 155 - 14(5-1) = 155 - 56 = 99

......

f(15) = 155 - 14(15-1) = 155 - 196 = -41

The associative property states:
A. You can add numbers in any order and get the same answer.
B. You must add numbers in order from left to right.
C. You can change the grouping of numbers that are added and get the same answer.
D. If a sum of two numbers is multiplied by a factor, you can multiply each number by that factor and then add the products.

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Golf Scores


Player


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Micah


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Kyron


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Mackenzie


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Major


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