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3 years ago

How to find common difference of arithmetic sequence given first and last term?

1 answer:

8 0

Yeah there is a way... Lemme give a typical question...
Find the common difference of an arithmetic progression whose first term Is 1 and last term is 1023...

First term = T¹ =a
Last term = Tn = a + (n-1)d

Since your given the values of the first and the last term... You can substitute

Tn = 1 + (1023-1)d

1023 = 1 + 1022d

1022d = 1023 - 1

1022d = 1022

common difference = 1...

So there is a way....

You can get the common difference using the two terms given...

Hope this helped...

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Jorge finds that 56% of his 75 classmates like salsa music and 80% of his 60 relatives like salsa music how many more of Jorge’s

Natasha_Volkova [10]

<span>To solve this problem you must apply the proccedure shown below:
1. You have the following information given in the problem above:
- There are 75 classmates.
- 56% of his 75 classmates like salsa music and 80% of his 60 relatives like salsa music.
2. Therefore, you have:
- Number of his classmates that likes salsa music:
75x0.56=42
- Number of his r</span>elatives that like salsa music:
60x0.80=48
3. Then you have:
48-42=6
Therefore, the answer is: 6.

8 0

3 years ago

Can y’all give me the answer

erastovalidia [21]

Answer:

Answers)))))))(27)

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3 0

3 years ago

A regular pentagon shares a common center with a regular hexagon. If `bar(LM)` || `bar(AB)`, across how many lines of reflection

choli [55]

our lines of symmetry is made limited by the presence of the pentagon. If we slice the pentagon into two, the only line of symmetry we could create would be the line intersecting O and the median of LM. Other lines would not create a symmetrical half.

Therefore the line of reflection is only 1.

questioned answered by

(jacemorris04)

5 0

3 years ago

One circle has a circumference of 12 pie Another circle has a circumference of 32 pie What is the ratio of the radius of the sma

UNO [17]

Answer:

3 : 8

Step-by-step explanation:

The ratio of the radii is equal to the ratio of the circumference, then ratio is

12π : 32π ( divide both parts by 4π )

= 3 : 8

6 0

3 years ago

A bag contains 10 red marbles and 15 green marbles.If yuki selects a marble from the bag without looking, what is the probabilit

Grace [21]

Incomplete Question (See Complete Question Below)

A bag contains 10 red marbles and 15 green marbles.If Yuki selects a marble from the bag without looking, what is the probability that she will pull a red marble?

A-1/5

B-2/5

C-1/2

Answer:

The probability of pulling a red marble is $\frac{2}{5}$

Step-by-step explanation:

Given

Red Marble = 10

Green Marble = 15

Required

The probability of picking a red marble

First, the total number of marble has to be calculated

Total = Red Marble + Green Marble

Total = 10 marbles + 15 marbles

Total = 25 marbles

The probability of an event is often calculated by dividing the number of required outcomes by the number of possible outcomes.

In this case, the probability of pulling a red marble is calculated as follows:

$P(R) = \frac{n(R)}{T}$

Where P(R) represents probability of pulling a red marble

n(R) represents number of red marbles

n(R) = 10

T represents total number of marbles

T = 25

By substitution,

$P(R) = \frac{n(R)}{T}$ becomes

$P(R) = \frac{10}{25}$

Reduce fraction to lowest term by dividing the numerator and denominator by 5

$P(R) = \frac{2}{5}$

Hence, the probability of pulling a red marble is $\frac{2}{5}$

7 0

3 years ago