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My name is Ann [436]
3 years ago
5

Math help, please? 20 points ! Find the indicated limit, if it exists.

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
7 0

I think this the correct solution. but please correct me if I'm wrong

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The arithmetic series 15+18+21+...+84+87 has how many terms?
bearhunter [10]

We can use the general term of the arithmetic series. Look:


\mathsf{a_n=a_1+(n-1)\cdot r}


Where:


\mathsf{a_1}: first term, 15.

\mathsf{a_n}: last term, 87.

n: number of terms (what we looking for);

r: reason, which is equal to the difference between two terms, that is, 3.


Let's go to the calculations.


\mathsf{a_n=a_1+(n-1)\cdot r}\\\\ \mathsf{87=15+(n-1)\cdot3}\\\\ \mathsf{87-15=(3n-3)}\\\\ \mathsf{72=3n-3}\\\\ \mathsf{72+3=3n}\\\\ \mathsf{75=3n}\\\\ \mathsf{n=\dfrac{75}{3}=25}


There are 25 terms.

8 0
3 years ago
Read 2 more answers
Solve for s.<br> Give an exact answer.<br> 1<br> 6s - 4 = 8 (2+1/4s)
klemol [59]

Answer:

s =2

Step-by-step explanation:

you need to multiply to find the answer

6 x 2=12

Then you need to replace the s with 2 and see if it fits correctly in this case it does

6x2 -4 =8

12-4=8

3 0
3 years ago
Read 2 more answers
Ols help and hurry ASAP Find m4+ 1/m4 , if m− 1/m =3.
Alexeev081 [22]

Answer: 257/16

Step-by-step explanation:

You are given the algebraic expression: m^4+ 1/m^4

if m− 1/m = 3

Solve for m by cross multiplying

m - 1 = 3m

Collect the likes terms

3m - m = -1

2m = -1

m = -1/2

Substitutes m into the algebraic expression above.

(- 1/2)^4 + 1/(- 1/2)^4

Open the bracket

1/16 + 1/(1/16)

1/6 + 16

16(1/16) or 257/16

5 0
4 years ago
Find answer to (19 8) 2.2^
mars1129 [50]
The answer is 112892.0654
8 0
3 years ago
A recipe for potato salad calls for 30 potatoes to make 12 quarts of potato salad. How many potatoes are required to make 4 quar
liberstina [14]

Answer:

10 potatoes.

Step-by-step explanation:

Let x be the number of  potatoes.

Then by proportion:

30/12 = x/4

12x = 4*30 = 120

x = 10.

5 0
3 years ago
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