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What is a possible value for the missing term of the geometric sequence? 25,_,874,…

Sagot :

Mhanifaidn

Answer:

  • The middle term is 5√874

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Given sequence

  • 25, x, 874, ...

To find

  • The missing term x

Solution

Since the given is the GP, find the common ratio in terms of given values:

  • r = x/25
  • r = 874/x

Equate the two values and solve for x to find the missing term:

  • x/ 25 = 874/x
  • x² = 874*25
  • x² = 21850
  • x = √21850
  • x = 5√874
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