What is the next number in this sequence: 1, 4, 16, 64, 256 .....?

1 Answer
Oct 6, 2017

#1024#

Explanation:

#"the terms form a "color(blue)"geometric sequence"#

#"with common ratio "r=4/1=16/4=64/16=4#

#rArra_6=a_5xxr=256xx4=1024#

#"note also the pattern in the sequence"#

#2^0,2^2,2^4,2^6,2^8larr" exponents steps of +2"#

#rArr2^10=1024#