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2 years ago

7+\frac{3x}{x-5} 7+ x−5 3x

Mathematics

1 answer:

HACTEHA [7]2 years ago

5 0

Answer:

its 100

Step-by-step explanation:

178399774993

893

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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

What is the effect on the graph of the function f(x) = |x| when f(x) is changed to f(x + 9)?

babymother [125]

The answer is A) shifts right by 9 units

3 0

3 years ago

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What is the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1)? x2 + (y + 4)² = StartRoot 5 End

Allisa [31]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Find the sum (2x−6)+4(x−3)

Degger [83]

Answer: x=-2

Step-by-step explanation: First we can multiply 4 times anything in the parantheses to get rid of it.

(2x-6)+4(x-3)

(2x-6)+4x-12

Then we combine like terms.

(2x-6)+4x-12

6x-6-12

6x-18

Finally we divide both sides 6.

6x-18

6x/6-18/6

x=-2

The final answer is x=-2

Hope this helps!

6 0

3 years ago

Marcus is picking songs to play during a slideshow. The songs are each 3\dfrac123

Lerok [7]

Answer:

9 songs

Explanation:

Given:

The slideshow is 31 whole number 1/2 minutes long

convert to an improper fraction

31×2+1/2 = 63/2

The songs are each 3 whole number 1/2 minutes long

convert to an improper fraction

3×2+1/2 = 7/2

To find the number of songs that Marcus is picking to play during a slideshow, divide the slideshow by the long of one song

(63/2) / (7/2)

= 9 songs.

6 0

2 years ago

7+\frac{3x}{x-5} 7+ x−5 3x ​

7+\frac{3x}{x-5} 7+ x−5 3x