First term and common ratio of a geometric sequence from differences between terms
First term and common ratio of a geometric sequence from differences between terms
6 marks
In a geometric sequence, the fourth term exceeds the second term by \(\frac{15}{4}\), and the third term exceeds the first term by \(\frac52\). Find the first term and the common ratio of the sequence.[6]
Solution:
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Answer:first term \(2\), common ratio \(\frac32\)
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