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a) write the algebra of the sequence. b) verify whether the squares of terms of the sequence are also terms of the sequence. |
Answer» a) A sequence can be regarded as a function whose domain is the set of natural numbers or some subset of it. nth term (or general term) of sequence is denoted by a(n) or an b) Given that squares of terms of the sequence are also terms so the sequence. i.e. an2 = an = an2 - an =0 = an (an -1) = 0 = an = 0 or an -1 = 0 = an = 0 or an = 1 Hence, if squares of terms of the sequence are also terms of the sequence than that sequence is either an = 0 (zero sequence) or an = 1 (Constant sequence whose terms are 1) |
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