lokrajbhatt2059
lokrajbhatt2059 lokrajbhatt2059
  • 12-10-2020
  • Mathematics
contestada

i)
Find the first term of a G.P. whose fifth term is 243 and the
common ratio 3.​

Respuesta :

jimrgrant1 jimrgrant1
  • 12-10-2020

Answer:

first term = 3

Step-by-step explanation:

The n th term of a GP is

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here r = 3 and a₅ = 243 , thus

a₁ × [tex]3^{4}[/tex] = 243

a₁ × 81 = 243 ( divide both sides by 81 )

a₁ = 3

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