Question

1.
Which term of the sequence
√3,3,3√3..... is 243? 2.
In a G.P., if the third term is 1/5 and sixth term is 1/625 find its nth term.​

Answer 1

Answer:

1. 11.

2. 5×((1/5)^n-1)

Step-by-step explanation:

1. √3 ×(√3 ^(n-1))=243

i.e 3^(n-1/2)=243=3^5

Gives , n-1/2=5

n=11.

2. ar^2=1/5. --a1

ar^5=1/625. ----a2

a2/a1>>>>>. r^3=1/125.

r=1/5

So a/25=1/5 (Giving value of r in a1)

i.e a=5.

So , nth term =5×((1/5)^n-1).

Answer 2

Answer:

find 243 term of the square √3,3,3√3