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The reason main sequence has a limit at the lower end is because of temperature and pressure. The lower limit exists in order to exclude stellar objects that are not able to sustain hydrogen fusion.
It should begin with 2/3 and end with 6*864 = 5184
Oh, honey, "append" in math just means to add something to the end of a list or a number. It's like sticking an extra item onto the end of your shopping list or tacking on a bonus question at the end of a math quiz. So, if you're asked to append a number to a sequence, just slap it on the end and call it a day.
f(x) = 2x5 + 5x4 - 2x3 - 7x2 -4x - 12 We use the Leading Coefficient Test to determine the graph's end behavior. Because the degree of f(x) is odd (n = 5) and the leading coefficient, 2, is positive, the graph falls to the left and rises to the right.
There is no conclusion to the Fibonacci sequence - it continues on infinitely. The conclusion is that successive terms tend to a constant ratio with one another. So if a is one term, the next is ar and the one after that is ar2. Then from the rule that any term is the sum of the previous two, ar2=ar +a, which means r2-r-1=0 so r =(1+sqrt5)/2 (the golden ratio). There is no end to this series.