mirandagray54 mirandagray54

02-07-2021
Mathematics

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If the 5th term in a geometric sequence is 162, and the common ratio is 3. What is the first term in the sequence?

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reinhard10158 reinhard10158

07-07-2021

Answer:

2

Step-by-step explanation:

a2 = a1×3

a3 = a2×3 = a1×3×3

=>

an = an-1 × 3 =

[tex]a1 \times {3}^{n - 1} [/tex]

a5 = 162 = a1×3⁴ = a1×81

a1 = 162/81 = 2

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