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jok3333 [9.3K]
3 years ago
8

Write a rule for each pattern. Then use your rule to find the next two terms in the pattern. The numbers are: 1, 4, 9, 16, 25, 3

6, 49
Mathematics
2 answers:
GarryVolchara [31]3 years ago
5 0
You're answer will be 64,81
Anika [276]3 years ago
3 0
When n is the nth term in the sequence, n squared is the rule.

The next two terms are 64, 81

Good luck!
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Read 2 more answers
Based on a study of population projections for 2000 to​ 2050, the projected population of a group of people​ (in millions) can b
Olegator [25]

Answer:

(a) 0.107 million per year

(b) 0.114 million per year

Step-by-step explanation:

A(t) = 11.19(1.009)^t

(a) The average rate of change between 2000 and 2014 is determined by dividing the difference in the populations in the two years by the number of years. In the year 2000, t=0 and in 2014, t=14. Mathematically,

\text{Rate}=\dfrac{A(2014) - A(2000)}{2014-2000}=\dfrac{11.19(1.009)^14-11.19(1.009)^0} {14}

A(0)=\dfrac{12.69-11.19}{14}=\dfrac{1.5}{14}=0.107

(b) The instantaneous rate of change is determined by finding the differential derivative at that year.

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A\prime(t) = \dfrac{A}{t}=11.19\cdot1.009^t\ln1.009

In the year 2014, t=14.

A\prime(14) =11.19\cdot1.009^14\ln1.009=0.114

6 0
3 years ago
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