Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Find the sum of a finite geometric series.
Amanda teaches the art of quilling to 4 students. These students each teach the art of quilling to 4 other students. If this process continues for 5 generations after Amanda,
people other than Amanda will know the art of quilling.

Answer 1

1,024

Explanation:

Five generations after Amanda.

So, Amanda would be considered generation 0.

1st Generation- 4^1=4

2nd Generation-4×4=16

3rd Generation-16×4=64

4th Generation-64x4=256

5th Generation-256×4=1,024

Answer 2

4096

Explanation:

4*4=16

16*4=64

64*4=256

256*4=1024

1024*4=4096

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