This sequence firm term is equal to four, and the value of each term after the first term is two times greater than the previous term.

Question

This is an a word problem but I cannot find the pattern of the problem. I'm also having trouble finding the pattern and who much it's increasing.

Answer 1

Each term is 2 times the previous term:

Depending on what you are trying to determine, the pattern is...

 

Given a term the next is twice as much

a_n = 2a_n-1

 

 

Any term in the geometric sequence can be found by multiplying the first
term by the common ratio a total of (n-1) times

a_n = a₁(r)^n-1  where r is the common ratio..., in this case r=2, a₁=4

a_n =4(2^n-1)

 

Example:  Find a₁₀

a₁₀ = 4(2⁹) = 2048

 

4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048

Pattern is verified since the 10th term is 2048

Answer 2

4, 8, 16, 32, 64, 128, ...