Given:
The sequence of number of stars is 2,4,8,16
a) To find the common ratio of the pattern.
Hence the common ratio is 2.
b) To find the explicit formula for the pattern.
The general for a geometric progression sequence is,
Hence, the formula for the above pattern will be,
c) To find the number of stars in 11th set.
Substitute n=11 in the explicit formula of the pattern.
Hence, the number of stars in 11th set will be 2048.