Identify the type of sequence shown and select the appropriate response.
1 answer:
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The pattern is formed a geometric sequence
The nth term of the sequence is
Step-by-step explanation:
The formula of the nth term of a geometric sequence is:
, where
- a is the first term
- r is the common ratio between the consecutive terms
∵ The pattern is 3 , 9 , 27 , 81 , 243
∵ 9 ÷ 3 = 3
∵ 27 ÷ 9 = 3
∵ 81 ÷ 27 = 3
∵ 243 ÷ 81 = 3
- There is a common ratio 3 between each two consecutive terms
∴ The pattern is formed a geometric sequence
∵ The first term is 3
∴ a = 3
∵ The common ratio is 3
∴ r = 3
- To find the nth term substitute a and r in the formula above
∵
∴
- Remember we add the powers of the same base with multiplication
∵ 3 × =
∴ 3 × =
∴
∴ The nth term of the sequence is
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Answer: a) 0.545,b) 0.41, c) 0.045, d) not possible.
Step-by-step explanation:
The Sky Ranch is a supplier of aircraft parts. Included in stock are 10 altimeters that are correctly calibrated and two that are not. Three altimeters are randomly selected without replacement. Let the random variable
x represent the number that are not correctly calibrated.
Complete the probability distribution table.
x={0,1,2,3}
P(x=0)=?
P(x=1)=?
P(x=2)=?
P(x=3)=?
Since we have given that
n = 12
number of good one = 3 from 10
number of bad one = 2
So, P(X=0)=
P(X=1) =
P(X=2)=
P(X=3) is not possible.
Hence, a) 0.545,b) 0.41, c) 0.045, d) not possible.