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3 years ago

I need help fast!!!!!!!!!!!!!!!¡!!!!!¡!!!!!!!!!m!!!!!!

Mathematics

1 answer:

raketka [301]3 years ago

4 0

I think the answer is shelter B

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Can somebody prove this mathmatical induction?

Flauer [41]

Answer:

See explanation

Step-by-step explanation:

1 step:

n=1, then

$\sum \limits_{j=1}^1 2^j=2^1=2\\ \\2(2^1-1)=2(2-1)=2\cdot 1=2$

So, for j=1 this statement is true

2 step:

Assume that for n=k the following statement is true

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

3 step:

Check for n=k+1 whether the statement

$\sum \limits_{j=1}^{k+1}2^j=2(2^{k+1}-1)$

is true.

Start with the left side:

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}\ \ (\ast)$

According to the 2nd step,

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

Substitute it into the $\ast$

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}=2(2^k-1)+2^{k+1}=2^{k+1}-2+2^{k+1}=2\cdot 2^{k+1}-2=2^{k+2}-2=2(2^{k+1}-1)$

So, you have proved the initial statement

4 0

3 years ago

What is the slope of the line which passes through (4, 7) and (2, 3)? (5 points)

Basile [38]

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (4, 7)

m = $\frac{7-3}{4-2}$ = $\frac{4}{2}$ = 2

3 0

2 years ago

Find m2C. D 18 С 9 B o mZC=

jeka94

Give me the points thanks

3 0

3 years ago

Read 2 more answers

A sculpture is in the shape of a square pyramid. The sculpture has a height of 6 meters and a volume of 50 cubic meters. Find th

Anton [14]

Answer : a link for your answer https://quizlet.com/140197143/surface-area-and-volume-surface-area-of-rectangular-pyramids-flash-cards/

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

I need percentage, fraction, decimal That are equivalent asapppp

Anarel [89]

Answer:

3/5 = 0.6

1/8 = 0.125

3/50 = 0.06

7/8 = 87.5%

1/3 = 33 1/3%

hope this helped.. brainliest??

6 0

3 years ago

Read 2 more answers

I need help fast!!!!!!!!!!!!!!!¡!!!!!¡!!!!!!!!!m!!!!!!​

I need help fast!!!!!!!!!!!!!!!¡!!!!!¡!!!!!!!!!m!!!!!!