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The first term of a geometric sequence is 27, and the sixth term is 519/9.
find the seventh term
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To get from one term to the next in a geometric sequence you multiply each term by a fixed amount. In your example our first term is 27. The second term would be 27x, where x is the amount that every term will be multiplied by. The third term would be 27x^2, etc. until you reach the sixth term of 27x^5. You know this is equal to 519/9, so your equation is 27x^5 = 519/9. Solve for x, then multiply it by 519/9 for the seventh term.
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