kwkwkwkwkw kwkwkwkwkw
  • 23-05-2019
  • Mathematics
contestada

Find the sum of the following series. 14 n=1 (2n+1)

A. 448
B. 256
C. 240
D. 224

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 01-06-2019

ANSWER

D. 224

EXPLANATION

The given series is

[tex]\sum_{n=1}^{14}(2n+1)[/tex]

The first term of this series is

[tex]a_1=2(1) + 1 = 3[/tex]

The last term of this series is:

[tex]l = 2(14) + 1 = 29[/tex]

The sum of the first n-terms of the series is calculated using the formula,

[tex]S_n= \frac{n}{2} (a + l)[/tex]

[tex]S_ {14}= \frac{14}{2} (3+ 29)[/tex]

[tex]S_ {14}= 7 \times (32)[/tex]

[tex]S_ {14}= 224[/tex]

Answer Link

Otras preguntas

4(x - 3) = -12 I had to write something else. Lol
Which of the following were classic Vietnam War movies that came out in the '70s? Going Home M.A.S.H. The Deer Hunter Apocalypse Now
Solve photo question, please. Mathematics.
True or false The sound of a police siren would be an example of the Doppler effect
Select the correct form. The desert is _____ than the mountains. more dry drier
Why do i need oils in my diet? simple answer please.
Tom knows that, in his school. 10 out of every 85 students are left-handed. There are 391 students in Tom's school. How many students in Tom's school are left h
The cell wall of a plant is made from phospholipids and cellulose. a. True b. False
What percentage of Earth's liquid surface freshwater is found in rivers? A)0.9% B)2% C)11% D)87%
Solve photo question, please. Mathematics.