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

1 Answer

1 vote

Answer:

0.04948594084

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.

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