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Setler79 [48]
3 years ago
8

number pattern has 75 as its first term. The rule for the pattern is subtract 6. What is the sixth term

Mathematics
1 answer:
____ [38]3 years ago
4 0
Since you subtract 6 and you have to find the sixth term, you can do:
-6×5=-30 ( negative shows you're subtracting and since 75 is the first term, then you have to find the difference of the input/term 6-1, the sixth term minus the first)
75-30=45
You can check by actually continuing the pattern.
75,69,63,57,51,45,39......
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Directly proportional to x.

<h3>What is propotionality?</h3>
  • In algebra, proportionality is the equality of two ratios.
  • A and B are in the same ratio as C and D in the formula a/b = c/d.
  • When one of a proportion's four quantities is unknown, a proportion is often built up to resolve the word problem.
  • By multiplying one numerator by the opposing denominator and equating the result to that of the other numerator and denominator, the equation can be solved.
  • Any relationship that has a constant ratio is said to be proportionate. For instance, the ratio of proportionality is the average number of apples per tree, and the amount of apples in a crop is proportional to the number of trees in the orchard.

Acc to our question-

  • If two variables' ratios (yx)
  • (x and y) have the same value as a constant (k=yx)
  • therefore the ratio's variable (y) in the numerator is the sum of the other variable and the constant (y=k:x).
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Hence,Directly proportional to x.

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