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3 years ago

7

What is the simplest form of

\sqrt{x} 324" align="absmiddle" class="latex-formula">

1 answer:

Dmitry [639]3 years ago

6 0

Answer:

hohohhohohohoho x^162

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

4. If f(x) = |2x - 4 find f(-7)<br> a.-18<br> b. 18<br> d. 10

bezimeni [28]

Answer:

Answer is a

Step-by-step explanation:

4 0

3 years ago

Convert the angle 61 38’ 45” to decimal degrees, and round to the nearest hundredth of a degree

slega [8]

A suitable calculator* can do this easily.

61°38'45" = (61 +(38 +45/60)/60)° ≈ 61.65°

_____
I like the RealCalc app for Android, but many graphing calculators also will do this conversion. Of course, you can simply evaluate the expression as above.

6 0

3 years ago

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PLZZZZ HELLLLPPPP WILL MARK BRAINIEST LOTS OF POINTSSS PLZZZZ HURRRY

Anni [7]

The first box is 3 more than the quotient of 6 and a number, the second is 6 less than the product of 3 and a number, the third box is the product of 6 and the sum of a number and 3.

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3 years ago

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What is k-15=-8?<br><br><br> I need help with this one<br> Btw it is asking what k equals.

LuckyWell [14K]

Answer:

k=7

Step-by-step explanation:

Add 15 to both sides, -8+15=7

So, K=7

4 0

3 years ago