Equation: a_n=0.6 ( -5 )^(n-1) Value of a_6: -1875
Practice makes perfect
We want to find the equation for the nth term and the value of the sixth term of the given geometric sequence. First we will find its explicit formula. Let's start by calculating the common ratio.
We will now use the common ratio - 5 and the first term 0.6 to write the formula.
a_n=a_1r^(n-1) ⇔ a_n= 0.6( - 5 )^(n-1)
Finally, to calculate the value of a_6 we will substitute 6 for n in our formula.
