SOLUTION: Kindly answer my question 🙏 The third and eight term of a geometric sequence are 8 and 1/4 respectively. What is the first term and the common ratio of the sequence?

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Question 1169262: Kindly answer my question 🙏

The third and eight term of a geometric sequence are 8 and 1/4 respectively. What is the first term and the common ratio of the sequence?

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
You know because it is given, term at index 3 is 8, term at index 8 is 1/4; and you know because it is given that sequence is a GEOMETRIC sequence. You then also KNOW that common ratio between each term. FIND THAT COMMON RATIO, r.

Index 3, 8.
From index 3 to index 8, 8%2Ar%2Ar%2Ar%2Ar%2Ar=highlight_green%288r%5E5=1%2F4%29;

r%5E5=%281%2F4%29%2F8
r%5E5=1%2F32
r%5E5=%281%2F2%29%5E5
highlight_green%28r=1%2F2%29
.
.