Math, asked by bushrafatima2583, 11 months ago

The fourth term of a geometric progression is 2 by 3 and 7th term is 16 by 81 find the geometrical series

Answers

Answered by dhanalakshmis2524
1

Answer:

9/4 , 3/2 , 1 .......

Step-by-step explanation:

4th term  =2/3                                7th term = 16/81

ar³   = 2/3      equ (1)                       ar power6  = 16/81     equ (2)

(2)÷ (1) ⇒   r³  = 8 / 27

       ∴ r = 2/3

subtitute  r = 2/3  in equ (1)

a r³  = 2/3

a   x 8/27  = 2/3

  a = 9/4

geometrical series   a, ar , ar².........

                                9/4  ,3/2 , 1 . . . .

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