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3 years ago

I really need help!!!!!!!!!!!!!!!

Mathematics

1 answer:

ziro4ka [17]3 years ago

8 0

2 one , going up and down

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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

Y = 3x + 5, x = -4 / So, what would the y equal ?

never [62]

Answer:y=4x+1

Step-by-step explanation: ok you are going to take your -4 over which it goes under 5 which 5-4 is 1 then your ad your x's which is 4x

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3 years ago

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Maria puts 6 strawberries in each smoothie she males. She makes 3 smoothies altogether how many strawberries does Maria use in t

zvonat [6]

Answer:2

Step-by-step explanation:

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Write an algebra expression to represent each scenario:<br><br> “the sum of 6 and y”

Lina20 [59]

Answer:

6+y

Step-by-step explanation:

simple:)

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2 years ago

Tyler has a baseball bat that weighs 28 ounces. Find the weight in kilograms and in grams.

UNO [17]

28oz=0.793787 kilograms

280z=793.787 grams

(in case you need to show work)

1oz=28.3495grams

1oz=0.0283495

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