Please help im confused on what I need to do!! The value of the 3rd term is 12
The sequence is now being doubled at each step
Recursive = now = previous term x 2
Explicit equation =
Find the value of the 10th term =
Explanation =

Step-by-step explanation:

could it be that you left out some past of the problem description ?

how I understand your rough text, we are looking for a geometric sequence, with the 3rd term = 12, and the multiplication factor being 2 (meaning that every term is the previous term times 2).

s3 = 12

f = 2

=>

s2 = 12/f = 12/2 = 6 (since the next term is the old term times 2, then the previous term is the new term divided by 2).

s1 = s2/2 = 6/2 = 3

s4 = s3 × f = 12 × 2 = 24

so, we see the structure, that

sn = sn-1 × 2

and sn-1 can then be expressed by sn-2 and so on, all the way to s1.

so, every term is the result of an equation based on s1.

s1 = 3

s2 = s1×2

s3 = s2×2 = s1×2×2

s4 = s3×2 = s2×2×2 = s1×2×2×2

that is the equation.

s10 is therefore

s10 = 3×2⁹ = 3×512 = 1536

explanation : see above.

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