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siniylev [52]
2 years ago
10

Find the explicit form of the arithmetic function of n if the first term is 3 and the common difference is -4 . Then find the se

venth term.

Mathematics
1 answer:
olga_2 [115]2 years ago
4 0

The explicit function is (b) f(n) = -4(n - 1) + 3; the seventh term is -21

<h3>How to determine the explicit form?</h3>

The given parameters are:

  • First term of the sequence, a = 3
  • Common difference of the sequence, d = -4

The explicit form is for an arithmetic function.

An arithmetic function has an explicit form represented as:

f(n) = a + (n -1) * d

Substitute the values of n and a in the above equation

f(n) = 3 + (n -1) * -4

Evaluate the product i.e. multiply -4 by (n - 1)

f(n) = 3 -4(n - 1)

Rewrite the equation as

f(n) = -4(n - 1) + 3

The seventh term is then calculated as:

f(n) = -4(n - 1) + 3

Substitute 7 for n in the above equation

f(7) = -4(7 - 1) + 3

Evaluate

f(7) = -21

Hence, the explicit function is (b) f(n) = -4(n - 1) + 3; the seventh term is -21

Read more about arithmetic sequence at:

brainly.com/question/15412619

#SPJ1

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Answer:

By solving the equation \frac{1}{6}(x-5)=\frac{1}{2}(x+6) we found that   x=\frac{23}{2} \text { or }=11 \frac{1}{2}

<u>Explanation:  </u>

Given equation,

\frac{1}{6}(x-5)=\frac{1}{2}(x+6) to find x  

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Step: 2 Open brackets and simplify the term 2x-10=6x+36  

Step: 3 Bring x terms on one side and simplify the equation the equation obtained is following,  

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