Give recursive definitions of each of the following sequences: 2, 6, 18, 54, 1,

Question

Give recursive definitions of each of the following sequences: 2, 6, 18, 54, 1, -2, 4, -8, 16 2, 3, -1, 4, -5, 9, -14, 2,1/4, 16, 1/156, 65536 Find the first five terms of the recursively defined sequence an: a1 = 2 and a n+1 = 4an + 1 a1 = -1, a2 = 2 and an+1 = an - an - 1 Define a recursive sequence as follows:a1 = 1 and an+1 = 3an. Find a non-recursive formula for general an and use induction to prove that your formula is valid. An arithmetic begins 36, 41, 46. Find the 100th term of this sequence. Find the sum of the first 100 terms of the sequence. A geometric sequence begins 1458, -486, 162. Find the 7th and 9th terms of this sequence. Find the sum of the first 100 terms.

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