Question

What is a possible value for the missing term of the geometric sequence 35,_,875,...

Answer 1

The value for the missing term is -175.

Answer 2

Answer: $\pm175$

Step-by-step explanation:

The given geometric sequence = $35,_,875,...$

For a geometric sequence, the nth term is given by the formula

$a_n=ar^{n-1}$

Since, the first term $a_1=a=35$

Then, the third term =$a_3=ar^2=35r^2$

From the given sequence, the third term =875

Now, $\Rightarrow 35r^2=875\\\Rightarrow r^2=25\\\Rightarrow\ r=\pm5$

If r=5, then the second term =$a_2=ar=35(5)=175$

If r=-5, then the second term =$a_2=ar=35(-5)=-175$

Hence, the possible value for the missing term of the geometric sequence is $\pm175$