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3 years ago

0.04(x - 25)

Mathematics

1 answer:

kramer3 years ago

6 0

Answer:

the last one is 30

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

make sure you round, i've been having difficulties with this, it's been saying incorrect forever, help me with this and you're a

amm1812

What are u talking about what is the question

5 0

3 years ago

PLEASE HELP GIVONG BRAINLIEST PLSSSSSSSHDHFHFHFJFJJFJRJRHR AHHHHHH

34kurt

Hi there hopefully this helps!

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Answer: C.

Explanation:

A New Leash On Life's Graph has: 3, 11, 21, 13, and 4.

The mean: 10.4

No Ruff Stuff's graph has: 1, 9, 16, 16, 8, 1, and 1.

The mean: 7.43.

3 0

3 years ago

Which snail travels the fastest

Nadusha1986 [10]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP (8)/(27) a^(15) cube of a monomial

vagabundo [1.1K]

Answer:

2/3a^5

Step-by-step explanation:

we know that 2/7x2/7x2/7 = 8/27

a^15 cube will be a^5

because we know (2^3)^2 = 2^6

so (a^5)^3 = a^15

2/3a^5

4 0

3 years ago