Write an expression that gives the requested sum. The sum of the first 16 terms of the geometric sequence with first term 9 and common ratio 2

1 answer
Question:

Write an expression that gives the requested sum.
The sum of the first 16 terms of the geometric sequence with first term 9 and common ratio 2

Answers

Answer:The sum of the first 16 terms of the geometric sequence[tex]S_{16} = \frac{9(2^{16}-1) }{2-1}[/tex]S₁₆ = 5,89,815Step-by-step explanation:Explanation:-Geometric series:-The geometric sequence has its sequence Formation a , a r, ar² , ar³,...…..a rⁿ  be the n t h sequenceGiven first term a=9 and common ratio 'r' = 2The sum of the first 16 terms of the geometric sequence[tex]S_{n} = \frac{a(r^{n}-1) }{r-1} if r>1[/tex] Given first term a=9 , 'r' = 2 and n=16 [tex]S_{16} = \frac{9(2^{16}-1) }{2-1}[/tex][tex]S_{16} = \frac{9(2^{16}-1) }{1}= 9(65,536-1)=5,89,815[/tex]

Similar Solved Questions

1 answer

Why are veterinary ethics are sometimes complicated

why are veterinary ethics are sometimes complicated...
1 answer

Predict the moon phase

Predict the moon phase...
2 answers

Question 11 of reality is broken

Question 11 of reality is broken...
1 answer

Answer this correctly Which of the following events helped swing public opinion against slavery in the United States? A. the Seminole Wars B. the German Coast Uprising C. the Amistad case D. the Creole case

Answer this correctly Which of the following events helped swing public opinion against slavery in the United States? A. the Seminole Wars B. the German Coast Uprising C. the Amistad case D. the Creole case...
1 answer

Although the big bang theory is one of the most accepted theories on how the Universe was created, in your opinion what is another plausible theory that can otherwise suggest how the universe was created?

Although the big bang theory is one of the most accepted theories on how the Universe was created, in your opinion what is another plausible theory that can otherwise suggest how the universe was created?...
1 answer

2.the solution set of x +y =5 and x-y =3x=1, y=5x=2 ,y=3x=4 , y=13.check the solution x=5 and y=1 is true for x+3y =15 and 2x+7y=19yesno4.find solution of x/2 +y/3 =0 and x+2y=1x=1 y=3x=-1/2 ,y=3/4x=1/2 and y=-3/45.x=1/2 and y =x +1 then solution is1 ,21/2 ,1/21/2 . 3/26.3x +y =5 and x -3y =5 has solutionx=1 ,y= 2x=2 , y=3x=2 , y=-1plz hlp​

2.the solution set of x +y =5 and x-y =3x=1, y=5x=2 ,y=3x=4 , y=13.check the solution x=5 and y=1 is true for x+3y =15 and 2x+7y=19yesno4.find solution of x/2 +y/3 =0 and x+2y=1x=1 y=3x=-1/2 ,y=3/4x=1/2 and y=-3/45.x=1/2 and y =x +1 then solution is1 ,21/2 ,1/21/2 . 3/26.3x +y =5 and x -3y =5 has ...
2 answers

Which sequence is generated by the function f(n + 1) = f(n) – 2 for f(1) = 10? -10, -12, -14, -16, -18,... -2, 8, 18, 28, 38, ... 8, 18, 28, 38, 48, ... O 10, 8, 6, 4, 2, ...

Which sequence is generated by the function f(n + 1) = f(n) – 2 for f(1) = 10? -10, -12, -14, -16, -18,... -2, 8, 18, 28, 38, ... 8, 18, 28, 38, 48, ... O 10, 8, 6, 4, 2, ......
2 answers

20 points what are the three rules of the glade in the maze runner?

20 points what are the three rules of the glade in the maze runner?...
2 answers

We have learnt English _______ 2001 A. since B. in C. for D. during

We have learnt English _______ 2001 A. since B. in C. for D. during...
1 answer

Fill in the blank. . The cranial bones of the skull are immovable, held together by collagen fibers. These joints would be classified functionally as and structurally as

Fill in the blank. . The cranial bones of the skull are immovable, held together by collagen fibers. These joints would be classified functionally as and structurally as...
2 answers

Mis amigos Loles, Antonio y Karen (1) preguntan a mí si quiero ir a Italia con ellos este verano.

Mis amigos Loles, Antonio y Karen (1) preguntan a mí si quiero ir a Italia con ellos este verano....
2 answers

Why do many schools in Spanish-speaking countries have two shifts?

Why do many schools in Spanish-speaking countries have two shifts?...
2 answers

What does symbiosis mean? *

What does symbiosis mean? *...
1 answer

Other than the economic impact and sociological implications why should physicians be concerned about halitosis?

Other than the economic impact and sociological implications why should physicians be concerned about halitosis?...
2 answers

What is an equation of the line that passes through the points (0,4) and (2,10).

What is an equation of the line that passes through the points (0,4) and (2,10)....
1 answer

Help me plsss!!!!!!

Help me plsss!!!!!!...
1 answer

As your scooter coasts downhill, your speed goes from 4 m/s to 6 m/s in 1.5 seconds. What is your acceleration? A. 2.4 m/s B. 1.3 m/s C. 0.8 m/s D. 3.0 m/s

As your scooter coasts downhill, your speed goes from 4 m/s to 6 m/s in 1.5 seconds. What is your acceleration? A. 2.4 m/s B. 1.3 m/s C. 0.8 m/s D. 3.0 m/s...
2 answers

An essay is a type of A. personal nonfiction. B. figurative language. C. technical material. D. fictional short story.

An essay is a type of A. personal nonfiction. B. figurative language. C. technical material. D. fictional short story....
1 answer

In a paragraph, explain the Leo Frank case and it's impact on Georgia. NEED 10 SENTENCES

In a paragraph, explain the Leo Frank case and it's impact on Georgia. NEED 10 SENTENCES...
1 answer

QUE ES DUCTIVILIDAD​

QUE ES DUCTIVILIDAD​...

-- 0.012368--