Determine whether the recursive sequence defined by an =1 , an+1 = 5+an diverges or converges. Find the limit if it converges.
1 answer:
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Answer:
6, 21, and 23 inches
Step-by-step explanation:
The perimeter of a triangle is equal to the sum of all side lengths in that triangle. We're given the perimeter as 50 inches, and the side lengths as n, 3n + 3, and 2n + 11.
- This means that we can algebraically solve the equation
Step 1: Combine like terms.
Step 2: Subtract 14 from both sides.
Step 3: Divide both sides by 6.
Step 4: Plug in the value of n as 6 in each side.
Therefore, the side lengths are 6, 21, and 23 inches.
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Answer: Exponential function:
Step-by-step explanation:
Exponential function: , a = initial value , x= time, b= growth factor , b= 1+r , where r=rate of growth.
Given: Initial population = a= 12,000,
rate of growth = r= 5% = 0.05
Then, b= 1+r= 1+ 0.05 = 1.05
Substitute value of a and b in (i), we get
Hence, The required exponential function: , where x= time.