exam Maths Puzzle Numerical Ability

Prove 1 + 2^n < 3^n for n >=2

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please help
which of the following ordered pairs are solutions of 4x-3y=27
-5,3
3,6
12,153/4
-1,73/4
0,63/4
93/4,0 if a block is 6cm in length 5cm in breadth and 2cm in height and you double the sides as before do you find a similar relationship between the volume of the block and the volume of the block with doubled sides?