medderscaylor medderscaylor

29-03-2021
Mathematics

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A geometric sequence has a4 = 4 and a5 = 7. What is a1 ? Your answer

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mhanifa mhanifa

30-03-2021

Answer:

4⁴/7³ or 256/343

Step-by-step explanation:

Given GP with

a₄ = 4
a₅ = 7
a₁ = ?

Let the common difference is r, then

a₅ = a₄r
a₁r³ = 4
a₁r⁴ = 7

Solve for r and then a₁:

4r = 7 ⇒ r = 7/4
a₁(7/4)³ = 4
a₁ = 4*(4/7)³ = 4⁴/7³ = 256/343

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