ekrucina93 ekrucina93
  • 23-05-2018
  • Mathematics
contestada

Find the sum of the first 10 terms for the sequence {21, 63, 189, . . . }.

5.2 × 1010

620,004

206,661

2730

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 23-05-2018
The sum of n terms of a geometric sequence with first term "a" and common ratio "r" is given by
[tex]S_{n}=a\dfrac{r^{n}-1}{r-1}[/tex]
You have a=21, r=3, so the sum of 10 terms is
[tex]S_{10}=21\cdot \dfrac{3^{10}-1}{3-1}=620004[/tex]

The appropriate choice is the 2nd one:
   620,004
Answer Link
sierraberge20p750g0
sierraberge20p750g0 sierraberge20p750g0
  • 23-05-2018
It’ll be 620,004
Each number is multiplied by 3 so the 10 numbers would be
21; 63; 189; 567; 1,701; 5,103; 15,309; 45,927; 137,781; 413,343
Adding those numbers equals 620,004
Answer Link

Otras preguntas

the total cost of 3 tables & 2 chairs is rs 1850 ...if a table RS 75 more than a chair ,find the price of each ?
write a paragraph on wonders of science
Round 1.069 to the nearest tenth
how do u express a ratio as a decimal
What year did the Mayflower sail the ocean blue?
a sum of RS 500 is in the form of denominators of RS5 & RS 10..if the total no. of notes is 90 ,find the no. of notes of each type................
how do u express a ratio as a decimal
write a paragraph on wonders of science
A soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second. Its height above ground in feet is given by: s(t)=-16t^2 +32
a sum of RS 500 is in the form of denominators of RS5 & RS 10..if the total no. of notes is 90 ,find the no. of notes of each type................