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nolandh7940
05.10.2019 •
Mathematics
Consider the following geometric sequence.
-5, 10, -20, 40,
in the explicit formula for the sequence above is expressed in the form an=b*c^n-1, determine the values of b and c.
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Ответ:
an = b * c^(n-1)
a1 = - 5
a1 = b * c^(1-1) = b * c^0 = b * 1 = b
b = - 5
a2 = 10
a2 = b * c^(2-1) = (-5) * c ^1 = (-5) * c
10 = (-5) * c
c = - 2
an = b * c^(n-1) ... an = (-5) * (-2)^(n-1)
a3 = (-5) * (-2)^(n-1) = (-5) * (-2)^(3-1) = (-5) * (-2)^2 = (-5) * 4 = -20
a4 = (-5) * (-2)^(n-1) = (-5) * (-2)^(4-1) = (-5) * (-2)^3 = (-5) * (-8) = 40
The correct result would be: b = -5 and c = -2.
Ответ: