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3 years ago

Help mi plizzzzzzzzzz

Mathematics

2 answers:

mote1985 [20]3 years ago

8 0

With what⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️

Nezavi [6.7K]3 years ago

8 0

Answer:

what do you need help with ?

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Dont really understand how to do this

bija089 [108]

Answers:

$t_{10} = -22 \ \text{ and } S_{10} = -85$

========================================================

Explanation:

$t_1 = \text{first term} = 5\\t_2 = \text{first term}-3 = t_1 - 3 = 5-3 = 2$

Note we subtract 3 off the previous term (t1) to get the next term (t2). Each new successive term is found this way

$t_3 = t_2 - 3 = 2-3 = -1\\t_4 = t_3 - 3 = -1-3 = -4$

and so on. This process may take a while to reach $t_{10}$

There's a shortcut. The nth term of any arithmetic sequence is

$t_n = t_1+d(n-1)$

We plug in $t_1 = 5 \text{ and } d = -3$ and simplify

$t_n = t_1+d(n-1)\\t_n = 5+(-3)(n-1)\\t_n = 5-3n+3\\t_n = -3n+8$

Then we can plug in various positive whole numbers for n to find the corresponding $t_n$ value. For example, plug in n = 2

$t_n = -3n+8\\t_2 = -3*2+8\\t_2 = -6+8\\t_2 = 2$

which matches with the second term we found earlier. And,

$tn = -3n+8\\t_{10} = -3*10+8\\t_{10} = -30+8\\t_{10} = \boldsymbol{-22} \ \textbf{ is the tenth term}$

---------------------

The notation $S_{10}$ refers to the sum of the first ten terms $t_1, t_2, \ldots, t_9, t_{10}$

We could use either the long way or the shortcut above to find all $t_1$ through $t_{10}$ . Then add those values up. Or we can take this shortcut below.

$Sn = \text{sum of the first n terms of an arithmetic sequence}\\S_n = (n/2)*(t_1+t_n)\\S_{10} = (10/2)*(t_1+t_{10})\\S_{10} = (10/2)*(5-22)\\S_{10} = 5*(-17)\\\boldsymbol{S_{10} = -85}$

The sum of the first ten terms is -85

-----------------------

As a check for $S_{10}$ , here are the first ten terms:

t1 = 5
t2 = 2
t3 = -1
t4 = -4
t5 = -7
t6 = -10
t7 = -13
t8 = -16
t9 = -19
t10 = -22

Then adding said terms gets us...

5 + 2 + (-1) + (-4) + (-7) + (-10) + (-13) + (-16) + (-19) + (-22) = -85

This confirms that $S_{10} = -85$ is correct.

6 0

2 years ago

Express this number in scientific notation. 0.15880

Marysya12 [62]

Answer:

Step-by-step explanation:

3 0

3 years ago

HELP ME PLZZZZZ I NEED THIS RNNNNNNNNNN

KiRa [710]

Answer: I think its B or C bc if you subtract them on the 180 you will get the same answer and by just adding them back again.

Step-by-step explanation:

8 0

3 years ago

your gym membership cost $33 per month after an initial membership fee. you paid a total of $228 after 6 months. writer an equat

grin007 [14]

Answer:

what i did was multiply 33*6 and got 198 and then 228-198 to find out that the initial fee was 30 dollars. then multiply 33*9+30 to get a 9-month total cost of $327

Step-by-step explanation:

cost = $33 per month + fee

1. c(m) = 33m + f

33(6) + f = 228

198 + f = 228

f = $30 membership fee

c(m) = 33m + 30

2. at 9 months: 33(9) + 30 = $327

hopefully this helps :)

have a nice day !!

7 0

3 years ago

Exists throughout Earth's crust. It is the building block of all living things.

Nimfa-mama [501]

Answer: Carbon

Step-by-step explanation:

Carbon is considered to be the building block of all living things as it is very important in the formation of compounds that are needed by living things to survive such as Carbohydrates and Protein and many more.

This is down to its ability to form stable compounds with other elements such as Hydrogen and oxygen both of which are present in Carbohydrates and Proteins.

Carbon exists in the Earth's crust as Carbonates in water, rocks, petroleum and living things as well especially plants and trees which release a significant amount if they are cut down.

7 0

3 years ago