Respuesta :

so initially the paper is in full piece.

it is cut into half, which makes into 2. this is pattern 1.

then the halves is further divided in to 2.

then the total becomes 4. then the four pieces are cut into halves, which makes the total of 8 pieces, that is pattern 3..

is if we see the pattern it is a geometric progression.

Tn=ar²-¹ where the r is common ratio

and a is the first term. the question mentioned repeat 15 times.

1. 2

2. 4

3. 8

4. 16

4÷2=2 the common ratio.

So T(15)= 2×2¹⁵-¹

2×2¹⁴

2¹⁵

32768 pieces

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