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Alekssandra [29.7K]
3 years ago
9

What is the explicit rule for the sequence? −3, 0,3,6,9,... Enter your answer in the box.

Mathematics
1 answer:
PtichkaEL [24]3 years ago
3 0

Answer:

  • aₙ = 3n - 6

Step-by-step explanation:

<u>Given sequence:</u>

  • −3, 0,3,6,9,...

<u>This is AP with:</u>

  • The first tern a₁ = - 3
  • Common difference d = 3

<u>The rule for the nth term of the sequence is:</u>

  • aₙ = a₁ + (n - 1)d

<u>Substitute values:</u>

  • aₙ = -3 + (n - 1)(3) =
  •       -3 + 3n - 3 =
  •        3n - 6

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4 years ago
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In 1992​, there were 41 comma 984 shopping centers in a certain country. In 2002​, there were 48 comma 225. ​(a) Write an equati
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Answer:

Step-by-step explanation:

The equation expressing the number y of shopping centers in terms of the number x of years after 1992 will be LINEAR in nature

The standard equation is expressed as;

y = mx+c

m is the slope

c is the intercept

If in 1992​, there were 41,984 shopping centers in a certain country and in 2002​, there were 48,225 we can express this as coordinate points

(0, 41984) and (10, 48,225)

Get the slope

m = 48,225-41,984/10-0

m = 6241/10

m = 624.1

Get the intercept, substitute m = 624.1 and the point (0,48225) into the formula y = mx+c

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48225 = 0+c

c = 48225

Get the required equation

y = 624.1x+48225

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