Answer:
aₙ= -2n²
Step-by-step explanation:
<h2><u>Solution 1:</u></h2>
The sequence:
The difference between the terms:
- a₁= -2
- a₂= a₁ - 6 = a₁ - 2*3= a₁- 2*(2²-1)
- a₃= a₂ - 10 = a₁ - 16= a₁ - 2*8= a₁ - 2*(3²-1)
- a₄= a₃- 14= a₁ - 30= a₁ - 2*15= a₁ - 2*(4² -1)
- ...
- aₙ= a₁ -2*(n²-1)= -2 -2n² +2= -2n²
As per above, the nth term is: aₙ= -2n²
<h2><u /></h2><h2><u>Solution 2</u></h2>
The sequence:
- -2, -8, -18, -32, -50
- -2*1, -2*4, - 2*9, -2*25
- -2*1², -2*2², -2*3², -2*4², -2*5², ..., -2*n²
- aₙ= -2n²
Answer: 392.99
Step-by-step explanation: Starting Principal: 300
Interest Rate: 9
Years: 3
Then solve
Answer:
308cm²
Step-by-step explanation:
Assuming the given unit is in cm
The expression for the area of a regular Octagon is
A=2(1+√2)a²
Given the apothem a = 8cm
Substituting we have
A=2(1+√2)8²
A= 2(1+1.414)64
A= 2(2.414)64
A= 308cm²
Leg 1 is 15.6 meters. 15.6-3 is 12.6. And the last leg is 15.6
The answer is 74.1 degrees. :)
