Question

If the 5th term of a G.P. is 1/3 and 9th term is 16/243 then r =​

Answer 1

Answer:

r = 2 / 3

Step-by-step explanation:

n = 5

used the first term 5th 6th 7th 8th 9th

a1 = 1 / 3

an = 16 / 243

an = a1 * r^(n-1)

r^(n-1) = an / a1

r^(5-1) = (16 / 243) / (1 / 3)

r^4 = 16 / 81

r = (16 / 81)^1/4

r = 2 / 3

an = 1 / 3  * 2/3^(5-1)

an = 1 / 3 * (2 / 3)^4

an = 1 / 3 * 16 / 81

an = 16 / 243

Answer 2

Step-by-step explanation:

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