## Hannah_Ahn Group Title Math12: Geometric Sequences The first three terms of a geometric sequence are sqrt[4]{3},sqrt[8]{3}, and 1. What is the fourth term? 2 years ago 2 years ago

1. Hannah_Ahn Group Title

I would really appreciate if you guys can show me steps by steps

2. Mimi_x3 Group Title

Can you please right it clearly. Is it: $\sqrt{4*3}?$

3. Mimi_x3 Group Title

write* lol

4. Hannah_Ahn Group Title

.$\sqrt[4]{3} , \sqrt[8]{3}, and 1.$

5. Hannah_Ahn Group Title

6. Mimi_x3 Group Title

Well, find the common ratio first.. $\large \frac{T_{2}}{T_{1}} = \frac{\sqrt[8]{3}}{\sqrt[4]{3}}$ $\large \frac{T_{3}}{T_{2}} = \frac{1}{\sqrt[8]{3}}$

7. Mimi_x3 Group Title

Then find the general term; the formula is: $\large T_n = ar^{n-1}$ To find the fourth term; sub in n = 4; where a is the first term of the sequence and r is the common ratio.

8. Hannah_Ahn Group Title

cool! thanks you!! that was helpful :)