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On a bright m...

Question

On a bright morning gita observed that her rose garden had one flower.on the second day,she observed that there were four flowers. On third day she saw sixteen flowers and on the fourth day she saw sixty four flowers. If this pattern continues how many flowers will be there on 15th day? Express answer in exponential form.

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Solution

Dear Student,

$n u m b e r o f f l o w e r s o n d a y 1 = 1 n u m b e r o f f l o w e r s o n d a y 2 = 4 n u m b e r o f f l o w e r s o n d a y 3 = 4^{2} . . n u m b e r o f f l o w e r s o n d a y 15 = 4^{15 - 1} = 4^{14} H e n c e t h e r e w i l l b e 4^{14} f l o w e r s o n 15 t h d a y .$

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