All categories

3 years ago

What are the next two terms in the pattern 3,6,5,10,9,18,17...?

Mathematics

2 answers:

sleet_krkn [62]3 years ago

6 0

the problem is a pattern that multiplies by two and subtracts one each time.

3x2=6 6-1=5 5x2=10 10-2=9 9x2=18 18-1=17 17x2=34 34-1=33

elena-s [515]3 years ago

5 0

Every time it multiplies by 2 so 17x2 is 34 and 34x2 is 68

You might be interested in

Alice searches for her term paper in her filing cabinet, which has several drawers. She knows thatshe left her term paper in dra

katen-ka-za [31]

You made a mistake with the probability $p_{j}$ , which should be $p_{i}$ in the last expression, so to be clear I will state the expression again.

So we want to solve the following:

Conditioned on this event, show that the probability that her paper is in drawer $j$ , is given by:

(1) $\frac{p_{j} }{1-d_{i}p_{i} } , if j \neq i,$ and

(2) $\frac{p_{i} (1-d_{i} )}{1-d_{i}p_{i} } , if j = i.$

so we can say:

$A$ is the event that you search drawer $i$ and find nothing,

$B$ is the event that you search drawer $i$ and find the paper,

$C_{k}$ is the event that the paper is in drawer $k, k = 1, ..., n.$

this gives us:

$P(B) = P(B \cap C_{i} ) = P(C_{i})P(B | C_{i} ) = d_{i} p_{i}$

$P(A) = 1 - P(B) = 1 - d_{i} p_{i}$

Solution to Part (1):

if $j \neq i$ , then $P(A \cap C_{j} ) = P(C_{j} )$ ,

this means that

$P(C_{j} |A) = \frac{P(A \cap C_{j})}{P(A)} = \frac{P(C_{j} )}{P(A)} = \frac{p_{j} }{1-d_{i}p_{i} }$

as needed so part one is solved.

Solution to Part(2):

so we have now that if $j$ = $i$ , we get that:

$P(C_{j}|A ) = \frac{P(A \cap C_{j})}{P(A)}$

remember that:

$P(A|C_{j} ) = \frac{P(A \cap C_{j})}{P(C_{j})}$

this implies that:

$P(A \cap C_{j}) = P(C_{j}) \cdot P(A|C_{j}) = p_{i} (1-d_{i} )$

so we just need to combine the above relations to get:

$P(C_{j}|A) = \frac{p_{i} (1-d_{i} )}{1-d_{i}p_{i} }$

as needed so part two is solved.

8 0

3 years ago

Find the value of [-3/7] raised to the power -2<br><br> and (3) raised to the power -4

xenn [34]

(3)^-4 = 0.01234567901
(-3/7)^-2 = <span>5.44444444444</span>

7 0

2 years ago

What is 3÷1/4 please tell me

Lady bird [3.3K]

The answer to your question
is 12

7 0

3 years ago

Read 2 more answers

The sum of Ted's and Leon's ages is

olganol [36]

Answer:

Ted is 6 years old

Leon is 7 years old

Andrew is 8 years old

Step-by-step explanation:

Ted+Leon=13 ⇒T+L=13 ⇒L=13-T

Leon+Andrew=15 ⇒L+A=15 ⇒A=15-L ⇒A=15-(13-T) because Leon =13-Ted

A=2+T

Ted+Andrew=14

T+A=14 ( substitute Andrew age from A=2+T)

T+2+T=14

2T=12

<h2>T=12/2=6 (Ted is 6 years old)</h2><h2>A=2+T=2+6=8 ( Andrew is 8 years old)</h2><h2>Leon=13-T=13-6=7 ( Leons is seven years old)</h2>

check: Ted+Leon=13 ⇒ 6+7=13

Leon + Andrew=15 ⇒7+8=15

Andrew+Ted=14 ⇒ 6+8=14

7 0

2 years ago

Please solve this worksheet. (Factoring trinomials)

mash [69]

Answer:

where's the worksheet

Step-by-step explanation:

6 0

2 years ago