Question

On a bright morning,Delicia observed that her rose garden had one flower.On the second day,she observed that there were 3 flowers.On the third day she saw 9 flowers and on the fourth day she saw 27 flowers .If this pattern contact ,how many flowers will be there on the 20 th day?Express the answer in exponential form

Answer 1

Answer is 3^19 Here these numbers are in GP 1,3,9---------- r=3 nth term in GP is.an= a1×r^(n-1) Here. a20=1×3^(20-1)=3^19 Hope you understand

Answer 2

Number of flowers on successive days = 1, 3, 3^2, 3^3, .....
It is a geometrical progression.
n the day. n th Term = 3^{n-1}
On 20th day: 3^19