Question

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?

Answer 1

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

Answer 2

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

Answer 3

write* lol

Answer 4

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

Answer 5

sorry about that :p

Answer 6

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

Answer 7

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.

Answer 8

cool! thanks you!! that was helpful :)