Let p(x) = x2 + x + 2020. If In = p(n). Yn = In+1 - In and 2n = Yn+1 - Yn. then
(a) The sequence {yn) is convergent.
(b) The sequence {n} converges to zero.
(c) The sequence {-n} is constant.
(d) The sequence {yn) is monotonic.
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f(n) = xn, then the sequence is denoted by x1, x2,..., or simply by (xn). We call xn the nth term ... yn. → x y if y = 0 and yn = 0 for all n. Example : Let xn = 1. 12+1. + 1. 22+2. + ··· + 1 n2+n.
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