The seventh term of the sequence is 364.5
<h3>Geometric progression </h3>
From the question, we are to determine the seventh term of the sequence
Using the formula,

Where
is the nth term
a is the first term
and r is the common ratio
From the given information,
a = 1/2
r = 3
Thus,




Hence, the seventh term of the sequence is 364.5
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Answer:
becuase 2*3 is 6, and 2*4 is 8, and when you simplfy it is 1 and 1/2, which in decimal form is 1.5, making it less than 2
Answer:
dependent events since P(A and B) is not equal to P(A) * P(B)
Step-by-step explanation:
According to the Question,
- Given, The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballgame (event B) the same day is 0.61. The probability that Kate and Jane both go to the ballgame on Monday is 0.52.
Thus, The events A, B and A∩B are:
A - Jane will go to a ballgame on Monday;
B - Kate will go to a ballgame on Monday;
A∩B - Kate and Jane both go to the ballgame on Monday.
- P(A)=0.73, P(B)=0.61, P(A∩B)=0.52.
- Pr(A)⋅Pr(B) = 0.73⋅0.61 = 0.4453 ≠ 0.52
So, events A and B are dependent events since P(A and B) is not equal to P(A) * P(B)
Answer:
Lines 1 and 2.
Step-by-step explanation:
Parallel lines have the same slope. lines 1 and 2 both have a slope of -3
Answer:
$1,352
Step-by-step explanation:
The computation of the initial amount is shown below:
As we know that
Ending value = Initial investment × e^{rate, time period}
$1,900 = Initial investment × e^{3.4%, 10}
$1,900 = Initial investment × e^0.34
$1,900 = Initial investment × 1.404947591
So, the initial investment is
= $1,900 ÷ 1.404947591
= $1,352