FInd the missing term in the following geometric sequence. 4, __, 500

Mathematics

2 answers:

Georgia [21]4 years ago

4 0

The answer is 4, 20,100, 500

borishaifa [10]4 years ago

4 0

Answer: The missing term in the given geometric sequence is 20√5 or -20√5.

Step-by-step explanation: We are given to find the missing term in the following geometric sequence :

4, ?, 500, . . .

Let b represents the missing term.

Since the given sequence is a geometric one, so there common ratio r such that

$\dfrac{b}{4}=\dfrac{500}{b}=r\\\\\\\Rightarrow \dfrac{b}{4}=\dfrac{500}{b}\\\\\Rightarrow b^2=4\times500\\\\\Rightarrow b^2=2000\\\\\Rightarrow b=\pm\sqrt{2000}\\\\\Rightarrow b=\pm20\sqrt{5}.$

Thus, the missing term in the given geometric sequence is 20√5 or -20√5.

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AlekseyPX

Answer:

6 ft above ground.

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GREYUIT [131]

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