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riadik2000 [5.3K]
3 years ago
15

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

Mathematics
1 answer:
svetlana [45]3 years ago
5 0

Answer:

  • 4⁴/7³ or 256/343

Step-by-step explanation:

<u>Given GP with </u>

  • a₄ = 4
  • a₅ = 7
  • a₁ = ?

<u>Let the common difference is r, then</u>

  • a₅ = a₄r
  • a₁r³ = 4
  • a₁r⁴ = 7

<u>Solve for r and then a₁:</u>

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