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3 years ago

Solve: 3m-2(m-3)=1 Please and thank you

Mathematics

2 answers:

Brilliant_brown [7]3 years ago

8 0

I believe the answer is M= -5

Nataliya [291]3 years ago

5 0

Answer:

I think it's -2 but if im wrong im sorry goodluck :)

Step-by-step explanation:

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For every integer k from 1 to 10, inclusive the "k"th term of a certain sequence is given by (−1)(k+1)∗(12k). If T is the sum of

Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is $(-1)^{k+1}(\frac{1}{2^{k}})$ .

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as $(-1)^{k+1}(\frac{1}{2^{k}})$ .

where k is from 1 to 10.

By the given expression sequence will be $\frac{1}{2},\frac{(-1)}{4},\frac{1}{8}.......$

In this sequence first term "a" = $\frac{1}{2}$

and common ratio in each successive term to the previous term is 'r' = $\frac{\frac{(-1)}{4}}{\frac{1}{2} }$

r = $-\frac{1}{2}$

Since the sequence is infinite and the formula to calculate the sum is represented by

$S=\frac{a}{1-r}$ [Here r is less than 1]

$S=\frac{\frac{1}{2} }{1+\frac{1}{2}}$

$S=\frac{\frac{1}{2}}{\frac{3}{2} }$

S = $\frac{1}{3}$

Now we are sure that the sum of infinite terms is $\frac{1}{3}$ .

Therefore, sum of 10 terms will not exceed $\frac{1}{3}$

Now sum of first two terms = $\frac{1}{2}-\frac{1}{4}=\frac{1}{4}$

Now we are sure that sum of first 10 terms lie between $\frac{1}{4}$ and $\frac{1}{3}$

Since $\frac{1}{2}>\frac{1}{3}$

Therefore, Sum of first 10 terms will lie between $\frac{1}{4}$ and $\frac{1}{2}$ .

Option D will be the answer.

3 0

3 years ago

Let x1 = 12, y1 = 15, and y2 = 3. Let y vary inversely with x. Find x2.

Ostrovityanka [42]

We have that an inverse variation in a function is given by:
$y = k / x
$
We must find the value of the constant k.
To do this, we substitute the values of x1 = 12, y1 = 15.
We have then:
$15 = k / 12
$
Clearing k we have:
$k = (15) * (12)

k = 180$
Substituting the value of k we have that the inverse variation is:
$y = 180 / x
$
For y2 = 3 we have:
$3 = 180 / x2
$
Clearing x2 we have:
$x2 = 180/3$
$x2 = 60$
Answer:
$x2 = 60$

3 0

3 years ago

Given: an=3+an−1 and a1=5<br><br> What is the explicit rule for the arithmetic sequence?

Flura [38]

The explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have given:

$\rm a_n=3+a_n_-_1$ and

$\rm a_1=5$

$\rm a_n-a_n_-_1= 3$

The above expression represents the common ratio:

d = 3

First term:

a = 5

The explicit rule for the arithmetic sequence:

a(n) = 5 + (n - 1)3

a(n) = 3n + 2

Thus, the explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ1

3 0

2 years ago

I WILL GIVE BRAINLIEST+20 POINTS FOR THE CORRECT ANSWER!!!

faust18 [17]

Answer: The correct answer will be C. (Since the last comment got deleted smh)

3 0

3 years ago

Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of bottles

g100num [7]

B. Barbara's equation did not consider the number of bottles of iced tea. She only put 1.49, which would mean she only sold one. Because we know she sells more then one, it should be 1.49(then a variable)

4 0

3 years ago

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