2 years ago

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:

Step-by-step explanation:

<h3>Given GP</h3>

a₂ = 4,
a₆ = 16

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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