RECURRING SERIES
\ɹɪkˈɜːɹɪŋ sˈi͡əɹiz], \ɹɪkˈɜːɹɪŋ sˈiəɹiz], \ɹ_ɪ_k_ˈɜː_ɹ_ɪ_ŋ s_ˈiə_ɹ_i_z]\
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(Arith.) One, each of whose terms equals a fixed number of preceding terms each multiplied by a certain constant; thus, 1, 5, 17, 53, 161, etc., is a R. S., for any term equals the excess of four times the term before it above three times the term but one before it; as, 161 = 4 X 53 - 3 X 17.
By Henry Percy Smith