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The first and second term of five consecutive numbers are 16 and 64 respectively. The fifth term will be?

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The first and second term of five consecutive numbers are 16 and 64 respectively. The fifth term will be?
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a1 = 16 = 42 = (4 x 1)2

a2 = 64 = 82 = (4 x 2)2

∴ an = (4n)2

∴ a5 = (4 x 5)2

a1 = 16 = 42 = (4 x 1)2

a2 = 64 = 82 = (4 x 2)2

∴ an = (4n)2

∴ a5 = (4 x 5)2

= 202 = 400

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