Using the recurrence relation, we can find a couple more values in the sequence:
- a3 = 3a2 -3a1 +a0 = 3(4) -3(2) +2 = 8
- a4 = 3a3 -3a2 +a1 = 3(8) -3(4) +2 = 14
First differences are 0, 2, 4, 6, ...
Second differences are constant at 2, so the function is quadratic.
The sequence can be described by the quadratic ...
... an = n² -n +2
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We know the value for n=0 is 2, so we can find <em>a</em> and <em>b</em> using the given values for a1 and a2.
... an = an² +bn +2
... a1 = 2 = a·1² +b·1 +2 . . . . for n=1
... a + b = 0
... a2 = 4 = a·2² -a·2 +2 . . . . for n = 2; using b=-a from the previous equation
... 2 = 2a
... a = 1 . . . . so b = -1
Answer:
B. x^2 - 64 = 0
Step-by-step explanation:
A. x+10 = 33
B. x^2 - 64 = 0
C. Y-776
D. y = 4x + 6
A quadratic has an term with a power of two
Answer:
Step-by-Step Solution
0.4 = 2/5 as a fraction
To convert the decimal 0.4 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
0.4 = 0.41
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,
0.41 = (0.4 × 10)(1 × 10) = 410.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(4,10) = 2. So,
(4÷2)(10÷2) = 2/5 when reduced to the simplest form.
11% = 11/100
2/9 + 11/100 + 1/10 = 389/900
389/900 x 350 = 151.3
350 - 151.3 = 198.7
1. x= 8
2. x=2
3. x=-9
4. x=4
5. x= -5
6. x=16
7 x=0
8: x=-3
Hope this helps!
