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the second term of a geometric sequence is 3/4 and its fourth term is 3.What is the first term?

Sagot :

Brainlymomshieidn

Geometric Sequence:

The first term is 3/8.

Solutions:

Given that the second term is 3/4 and fourth term is 3. Then,

a₂ = 3/4

a₄ = 3

a₁ = 3/4/r

a₃ = 3/4r

Using a₄ = 3 and a₃ = 3/4r. Find the common ratio (r).

r = 3/3/4/r

(r)(r) = (3)(4/3)

r² = 12/3

r² = 4

√r² = √4

r = 2

Using r = 2, find the first term of the geometric sequence.

a₁ = a₂/r

a₁ = 3/4/2

a₁ = (3/4)(1/2)

a₁ = 3/8

Find the third term using r = 2 and a₂ = 3/4.

a₃ = (3/4)(2)

a₃ = 6/4

a₃ = 3/2

Keywords: geometric sequence, common ratio

Example of Geometric Sequence: https://brainly.ph/question/1679288  

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