Mathematics, 31.01.2021 07:00 ronaa
The seventh and tenth terms of a geometric sequence are 7 and 21 respectively. What is the 13th term of this progression?
Answers: 2
. We also happen to know that the 10th term is 21. Let us make a new equation:![7r^{3} =21\\r^{3}=3\\r= \sqrt[3]{3}](/tpl/images/1080/7860/f3e81.png)
. We may now substitute what we know, r, into this expression to obtain the 13th term:![7*\sqrt[3]{3}^{6} = \\7*3^{2}=\\7*9=\\63](/tpl/images/1080/7860/aa293.png)
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The seventh and tenth terms of a geometric sequence are 7 and 21 respectively. What is the 13th term...
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