If one bird has one wing and the other bird has 2 wings how many wings do both birds have?

Find the sum of the first four terms of the geometric sequence shown below. 4, 4/ 3, 4/9, ...

user100 [1]

It's evident that the first four terms are 4, 4/3, 4/9, and 4/27. So the fourth partial sum of the series is

$S_4=4+\dfrac43+\dfrac49+\dfrac4{27}$

It's as easy as adding up the fractions, but I bet this is supposed to be an exercise in taking advantage of the fact that the series is geometric and use the well-known formula for computing such a sum.

Multiply the sum by 1/3 and you have

$\dfrac13S_4=\dfrac43+\dfrac49+\dfrac4{27}+\dfrac4{81}$

Now subtracting this from $S_4$ gives

$S_4-\dfrac13S_4=4-\dfrac4{81}$

That is, all the matching terms will cancel. Now solving for $S_4$ , you
have

$\dfrac23S_4=4\left(1-\dfrac1{81}\right)$
$S_4=6\left(1-\dfrac1{81}\right)$
$S_4=\dfrac{480}{81}=\dfrac{160}{27}$

3 0

3 years ago

A bag has 2 blue 3red and 5 yellow tilas. what is the probability of not picking a red tile

MissTica

Answer:

0.2

Step-by-step explanation:

We have,

Number of blue tiles = 2

Number of red tiles = 3

Number of yellow tiles = 5

Total number of tiles = 2 + 3 + 5 is 10

Now, the probability of picking a blue tile is:

The number of blue tiles divided by the total number of tiles:

2 ÷ 10 = 0.2

4 0

1 year ago

Read 2 more answers

The price of a mango at a fruit stand goes up 5 cents each month. The first month the stand was open, a mango cost $1.25. What w

Dahasolnce [82]

Answer:

$2.45

Step-by-step explanation:

Let x be the number of months.

We have been given that price of a mango at a fruit stand goes up 5 cents each month. This means that price of mango in dollars after x months will be 0.05x (1 dollar=100 cents).

The first month the stand was open, a mango cost $1.25. This means that cost of mango in the x months after 1st month will be: $1.25+0.05x$