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lisov135 [29]
2 years ago
14

Suppose that the second term of a geometric sequence is 4 and the sixth term is 16. Find the fourth term

Mathematics
1 answer:
Kaylis [27]2 years ago
7 0

Answer:

  • 8

Step-by-step explanation:

<h3>Given GP</h3>
  • a₂ = 4,
  • a₆ = 16
<h3>To find</h3>
  • a₄ = ?
<h3>Solution</h3>
  • a₂ = ar = 4
  • a₆= ar⁵ = 16

<u>Substitute ar in the second equation</u>

  • ar⁵= 16
  • 4r⁴ = 16
  • r⁴ = 4
  • r = √2

<u>Then finding a₄</u>

  • a₄ = a₂*r² = 4*(√2)² = 4*2= 8
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