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3 years ago

Find the 9th term of the geometric sequence whose common ratio is ⅔ and whose 1st term is 2. BRANLIEST ASAP TY!!!

Mathematics

1 answer:

Wittaler [7]3 years ago

4 0

Answer:

512/6561

Step-by-step explanation:

nth term = a×[r^(n-1)]

9th term: n = 9

2×[⅔^(9-1)]

2(⅔^8)

512/6561

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Integrate 1 - x / x(x2 + 1) d x by partial fractions.

solniwko [45]

Answer:

$log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x$

Step-by-step explanation:

step 1:- by using partial fractions

$[tex]\frac{1-x}{x(x^{2}+1) } =\frac{A(x^{2}+1)+(Bx+C)(x }{x(x^{2}+1) }$ ......(1)

step 2:-

solving on both sides

$1-x=A(x^{2} +1)+(Bx+C)x......(2)$

substitute x =0 value in equation (2)

1=A(1)+0

A=1

comparing x^2 co-efficient on both sides (in equation 2)

0 = A+B

0 = 1+B

B=-1

comparing x co-efficient on both sides (in equation 2)

-1 = C

step 3:-

substitute A,B,C values in equation (1)

now

$\\\int\limits^ {} \, \frac{1-x}{x(x^{2}+1) } d x =\int\limits^ {} \frac{1}{x} d x +\int\limits^ {} \frac{-x}{x^{2}+1 } d x -\int\limits \frac{1}{x^{2}+1 } d x$

by using integration formulas

i) by using $\int\limits \frac{1}{x} d x =log x+c........(a)\\\int\limits \frac{f^{1}(x) }{f(x)} d x= log(f(x)+c\\$ .....(b)

$\int\limits tan^{-1}x dx =\frac{1}{1+x^{2} } +C$ .....(c)

step 4:-

by using above integration formulas (a,b,and c)

we get answer is

$log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x$

6 0

3 years ago

PLEASE HELP BEST ANSWER WILL GET BRAINLIEST

Alina [70]

Answer: Expression I & Expression II

Step-by-step explanation:

2n+n+3n+5 simplifies to 6n+5

8 0

3 years ago

How would you graph this

atroni [7]

Answer:

always start at the origin and X go before Y

6 0

2 years ago

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Any help would be appreciated! :)

ikadub [295]

Answer:

-7, then -13, then -19

Step-by-step explanation:

Plug in x values to get y.

y = -2(0) - 7

y = 0 - 7

y = -7

y = -2(3) - 7

y = -6 - 7

y = -13

y = -2(6) - 7

y = -12 - 7

y = -19

Hope this helps. :0)

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2 years ago

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Write the abbreviations for a. Fifteen degrees below zero Fahrenheit b. Seventy-eight degrees below zero Celsius c. Twenty-five

IRISSAK [1]

Answers are:
-15°F
-78°C
23°C
199°F

4 0

3 years ago

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Find the 9th term of the geometric sequence whose common ratio is ⅔ and whose 1st term is 2. BRANLIEST ASAP TY!!!​

Find the 9th term of the geometric sequence whose common ratio is ⅔ and whose 1st term is 2. BRANLIEST ASAP TY!!!