What is the 58th term of the given sequence? 1, 0, - 1, ...
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What is the 58th term of the given sequence? 1, 0, - 1, ...
The sequence is arithmetic with a=1 and d=-1. The n-th term is a + (n-1)d. For n=58, term = 1 + 57*(-1) = 1 - 57 = -56.
The sequence decreases by 1 at each step, making it an arithmetic progression with a first term of 1 and a common difference of negative 1. Using the formula Tn equals a plus (n minus 1) times d, the 58th term is 1 plus 57 times negative 1. This equals 1 minus 57, giving the result negative 56, making the correct option C.