Question

For a G.P. sum of first 3 terms is 125
and sum of next 3 terms is 27,
find the value of r.​

Answer 1

Answer:

r = 3/5

Step-by-step explanation:

For a G.P sum of first 3 terms is 125 and sum of next 3 terms is 27 find the value of r.

Let say GP is

a , ar , ar² , ar³ , ar⁴ , ar⁵

sum of first 3 terms is 125

=> a + ar + ar² = 125

=> a(1 + r + r²) = 25

sum of next 3 terms is 27

=> ar³ + ar⁴ + ar⁵ = 27

=> ar³(1 + r + r²) = 27

=> r³a(1 + r + r²) = 27

=> r³ * 125 = 27

=> r³ = 27/125

=> r³ = (3/5)³

=> r = 3/5

Value of r = 3/5

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