A) Consider the sequence 2, 8, 32, 128, 256, 512... a) Give a recursive definition for...

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A) Consider the sequence 2, 8, 32, 128, 256, 512... a) Give a recursive definition for the sequence. with a-2. b) Give a closed formula for the nth term of the sequence. c) Find the sum S-2+8+32+128++2-410 A) Consider the sequence 2, 8, 32, 128, 256, 512... a) Give a recursive definition for the sequence. with a-2. b) Give a closed formula for the nth term of the sequence. c) Find the sum S-2+8+32+128++2-410