Question

Using two or more complete sentences, describe how to find the general rule for the geometric sequence with a4=3 and a6=3/16. in your final answer, include all of your calculations

Answer 1

The value of a will be equal to $\dfrac{1}{4}$ for the given expression.

What is simplification?

The process of reducing the complex mathematical expressions into the simplest form is called as the simplification.

here we have two expressions.

$a^4=3\ \ \ \ a^6=\dfrac{3}{16}$

We can write the expression as:

$a^6=\dfrac{3}{16}\\\\\\a^4\times a^2=\dfrac{3}{16}\\\\\\3\times a^2=\dfrac{3}{16}\\\\\\a=\sqrt{\dfrac{1}{16}}\\\\\\a=\dfrac{1}{4}$

Hence the value of a will be equal to $\dfrac{1}{4}$ for the given expression.

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