Flower series

Every day, the flower develops two new flowers, and each of these new blossoms also bears two flowers each day. After eight days, how many blooms are already present in the garden?

Correct answer:

n =  511

Step-by-step explanation:

$$\begin{gathered} q=2 \\ n=8=511 \\ {a}_1=1 \\ {a}_2=q\cdot a_1=2\cdot 1=2 \\ {a}_3=q\cdot a_2=2\cdot 2=4 \\ {a}_4=q\cdot a_3=2\cdot 4=8 \\ {a}_5=q\cdot a_4=2\cdot 8=16 \\ {a}_6=q\cdot a_5=2\cdot 16=32 \\ {a}_7=q\cdot a_6=2\cdot 32=64 \\ {a}_8=q\cdot a_7=2\cdot 64=128 \\ {a}_9=q\cdot a_8=2\cdot 128=256 \\ n=a_1+a_2+a_3+a_4+a_5+a_6+a_7+a_8+a_9=1+2+4+8+16+32+64+128+256=511 \end{gathered}$$

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