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Johnny Appleseed was creating a fractal tree design:


The first tree, (a1), only has 1 leaf (the green point). The second tree, (a2), has leaves. The third tree, (a3), has 7 total leaves. How many total leaves will be on the 7th tree?
a) 63
b) 127
c) 128
d) 256

Johnny Appleseed was creating a fractal tree design The first tree a1 only has 1 leaf the green point The second tree a2 has leaves The third tree a3 has 7 tot class=

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Answer:

The total leaves on the 7th tree is, 127.

Explanation:

Definition of sequence and series:

A sequence is defined as a set of integers arranged in a specific order. A series, on the other hand, is defined as the sum of a sequence's elements.

Step by step:

The total leave will be on  7th tree are calculated.

Multiply term 2 and add term 1, to get the next digit.

According, to the question:

[tex]1[/tex]×[tex]2+1=3[/tex]

[tex]3[/tex]×[tex]2+1=7[/tex]

[tex]7[/tex]×[tex]2+1=15[/tex]

[tex]15[/tex]×[tex]2+1=31[/tex]

[tex]31[/tex]×[tex]2+1=63[/tex]

[tex]63[/tex]×[tex]2+1=127[/tex]

Hence, the 7th tree will have a total of 127 leaves.

To know more about sequence and series here, https://brainly.com/question/7882626

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