syd8152
14.10.2019 •
Mathematics
The third, fourth and fifth term of a geometric progression are t+3, t+8 and t+18. find the common ratio, first term and the sum of the first twelve terms.
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Ответ:
In geometric progressions, the ratio between consecutive terms is constant. This implies that
Solve this equation and you'll find the solution t=2.
So, the 3rd, 4th and 5th terms are (plug t=2 in the given terms)
So, the series goes on multiplying terms by 5, and it is
The sum of the first 12 terms is:
Ответ:
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Expand
Add sides 28
Simplification
Divide sides by 21
Done...
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