What is the equation for a geometric sequence with a first term of 4 and a second term of −8?
1 answer:
<h3>Answer:</h3>
The common ratio is -8/4 = -2. The general formula for the n-th term is ...
... an = a1·r^(n-1) . . . . . . note the use of the caret (^) and parentheses
For r = -2 and a1 = 4, this becomes ...
... an = 4·(-2)^(n-1) . . . . approximately matches the 2nd selection
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Answer: They are not perpendicular because their slopes are not negative reciprocals.
Step-by-step explanation:
For these two lines to be perpendicular, their slopes have to be negative reciprocals.
Slope of FG.
F = (-4, 1)
G = (0, -2)
= (Y₂ - Y₁) / (X₂ - X₁)
= (-2 - 1) / (0 + 4)
= -3/4
Slope of HJ
J = (0 , 4)
H = (-4, -2)
Slope = (Y₂ - Y₁) / (X₂ - X₁)
= (-2 - 4) / (-4 -0)
= 6/4
= 3/2
<em>The slopes of these lines are not negative reciprocals so these lines are not perpendicular. </em>
