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Ray Of Light [21]
3 years ago
7

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

Mathematics
2 answers:
Luden [163]3 years ago
4 0
The value for the missing term is -175.
Tom [10]3 years ago
3 0

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

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