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Murljashka [212]
2 years ago
5

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

Mathematics
1 answer:
tia_tia [17]2 years ago
5 0

Answer:

  • The middle term is 5√874

======================

<h3>Given sequence</h3>

  • 25, x, 874, ...

<h3>To find</h3>

  • The missing term x

<h3>Solution</h3>

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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