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

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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

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