Find the valué of x and y
1 answer:
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Answer:
; {-3,-9, -27,- 81, -243, ...}
; {-3, 9,-27, 81, -243, ...}
; {3, 1.5, 0.75, 0.375, 0.1875, ...}
; {243, 81, 27, 9, 3, ...}
Step-by-step explanation:
The first explicit equation is
At n=1,
At n=2,
At n=3,
Therefore, the geometric sequence is {-3,-9, -27,- 81, -243, ...}.
The second explicit equation is
At n=1,
At n=2,
At n=3,
Therefore, the geometric sequence is {-3, 9,-27, 81, -243, ...}.
The third explicit equation is
At n=1,
At n=2,
At n=3,
Therefore, the geometric sequence is {3, 1.5, 0.75, 0.375, 0.1875, ...}.
The fourth explicit equation is
At n=1,
At n=2,
At n=3,
Therefore, the geometric sequence is {243, 81, 27, 9, 3, ...}.
1) The solution for m² - 5m - 14 = 0 are x=7 and x=-2.
2)The solution for b² - 4b + 4 = 0 is x=2.
<u>Step-by-step explanation</u>:
The general form of quadratic equation is ax²+bx+c = 0
where
- a is the coefficient of x².
- b is the coefficient of x.
- c is the constant term.
<u>To find the roots :</u>
- Sum of the roots = b
- Product of the roots = c
1) The given quadratic equation is m² - 5m - 14 = 0.
From the above equation, it can be determined that b = -5 and c = -14
The roots are -7 and 2.
- Sum of the roots = -7+2 = -5
- Product of the roots = -7
2 = -14
The solution is given by (x-7) (x+2) = 0.
Therefore, the solutions are x=7 and x= -2.
2) The given quadratic equation is b² - 4b + 4 = 0.
From the above equation, it can be determined that b = -4 and c = 4
The roots are -2 and -2.
- Sum of the roots = -2-2 = -4
- Product of the roots = -2
The solution is given by (x-2) (x-2) = 0.
Therefore, the solution is x=2.