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nikdorinn [45]
3 years ago
7

Find the 7th term of the arithmetic sequence -5x-8,-x-14,3x-20,...

Mathematics
1 answer:
klemol [59]3 years ago
8 0
A₁ = -5x-8;  a₂ = -x-14; a₇=?

d = a₂ - a₁
  = x-14 - (-5x-8)
  = -x - 14 + 5x + 8
  = 4x-6

a(n) = a₁ + (n-1)d

a₇ = -5x-8 + (7-1)(4x-6)
    = -5x-8 + 6(4x-6)
    = -5x - 8 + 24x - 36
    = 19x - 44
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Answer:

The population in 2005 is 59,535 people.

Step-by-step explanation:

Annum means annually or yearly. We assume the rate has been consistent. To calculate percentage, take the percent in decimal form. 5% is 0.05 (like 17% is 0.17, and 50% 0.5). 5% is actually 5 hundredths of a number. Multiply this by the number you want the percentage of. 54,000*0.05=2,700. This is how much the population grows from 2003 to 2004.

There is a very common mistake people make after this, which is simply doubling that number and adding to the population. This is incorrect because if it grows 5% yearly, the yearly population CHANGES. The question would change if it were 2004 to 2005. Ask your teacher for clarification if this sounds wrong (if it is, do what I said above, the answer would be 59,400 people).

So, the population in 2004 is 54,000+2,700=56,700. Now, find 5% of the population in 2004 using the same method as before. 56,700*0.05=2,835. Add the growth to the pervious population. 56,700+2,835=59,535.

The population in 2005 is 59,535 people.

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Step-by-step explanation:

Given

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The only graph with zeros at x = - 4 and x = 1 is the 2nd graph

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