Find the 50th term in the sequence 65536, 49152, 36864, 27648 ...

0.04948594084

Step-by-step explanation:

The trick here is to see patterns. If you see the first number, it is actually 2^16 power, and the second is 2^14*3, the third is 2^12*3^2, and the fourth is 2^10*3^3. This pattern makes up the equation 2^ (18-2x) * 3^ (x-1). If we want to find the 50th term we can just plug 50 as x into this equation. This gives us 0.04948594084. I'm so happy we have calculators.