exam Maths Puzzle Numerical Ability

(sin2x / 2sinx) = cos^2(x/2) - sin^2(x/2)

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Ireally need help with my algebra can you help me with this problem 12 times 1 over six I have a problem with a geometric sequence, these are all the numbers up to 10. 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024. I need to find out how u get those numbers, I need to find out the equation to get it. please help me!