Can anyone explain the sequence generator for the following sequence... Term 1. 2. 3. 4. 5. 2 4 8 16 32? Thanks, TB

Question

Maths homework for 13 year old

Answer 1

Your numbers are   2 , 4 , 8 , 16 , 32.

 

Since the common ratio between consecutive terms is 2, we have a geometric sequence.

 

a_n = 2(2)^{n - 1}

 

where:

a_n = term

n = nth term

Answer 2

These numbers are the Powers of Two

 

Beginning with term #1 = 2, the next term is always 2 times the PRECEDING term.

Second term is two squared, or 2 times 2, namely four.

Third term, multiply that four by two, giving eight, also known as two cubed.

Fourth term is twice as much, namely sixteen.

 

Just keep on doubling!