dancozy
dancozy dancozy
  • 11-10-2021
  • Mathematics
contestada

find 8th and 10th of G.P whose first term and common ratio are 6 and 2 respectively​

Respuesta :

jimrgrant1 jimrgrant1
  • 11-10-2021

Answer:

a₈ = 768 , a₁₀ = 3072

Step-by-step explanation:

The nth 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 a₁ = 6 and r = 2 , then

a₈ = 6 × [tex]2^{7}[/tex] = 6 × 128 = 768

a₁₀ = 6 × [tex]2^{9}[/tex] = 6 × 512 = 3072

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