stupidgurl806
stupidgurl806 stupidgurl806
  • 02-06-2020
  • Mathematics
contestada

The sum of the first 12 terms of a geometric sequence with 10 as the first term and a common ratio of 0.3 is __________.
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YKitty2004
YKitty2004 YKitty2004
  • 02-06-2020

Answer: 14.2638366937

Step-by-step explanation:

A geometric sequence is a sequence in which each term is multiplied by a number, called the common ratio, to get the next term.

So, if the first term of the geometric sequence is 10 and the common ratio is 0.3, the sequence would be 10, 0.3(10), 0.3 x 0.3 x 10... and so forth. This becomes:

10, 3, 0.9, 0.27, 0.081, 0.00243, 0.00729, 0.002187, 0.0006561, 0.00019683, 0.000059049, 0.0000177147...

You add these first 12 terms to get 14.2638366937.

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