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数列   题数：16
【OG18-P273-257题】If the sequence S has 300 terms, what is the 293rd term of S ?(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term.(2) The first term of S is -22.
If the terms of a sequence are t1, t2, t3, . . . , tn, what is the value of n ? (1) The sum of the n terms is 3,124. (2) The average (arithmetic mean) of the n terms is 4.
【OG20-P279-312题】In any sequence of n nonzero numbers ,a pair of consecutive terns with opposite signs represents a sign change.For example,the sequence -2,3,-4,5 has three sign changes.Does the sequence of nonzero numbers S1,S2,S3..........Sn have an even number of sign changes?1.Sk=(-1)kfor all positive integers k from 1 to n.2.n is odd.
In the sequence of positive numbers x1 ，x2，x3，......，what is the value of x1?
In the finite sequence of positive integers K1, K2, K3, . . . , K9, each term after the second is the sum of the two terms immediately preceding it. If K5 = 18, what is the value of K9 ? (1) K4 = 11 (2) K6 = 29
In the sequence of nonzero numbers t1, t2, t3, …, tn, …, tn+1 = tn / 2 for all positive integers n. What is the value of t5?(1) t3 = 1/4(2) t1 - t5 = 15/16
The sequence ,,,...., of n integers is such that =k if k is odd and =-if k is even. Is the sum of the terms in the sequence positive? (1) n is odd. (2) is positive.
A parent established a college fund for his daughter. Each year the parent made a contribution to the fund, and each year he increased his contribution by a constant amount. If he made a contribution of $800 in the first year, by what amount did the parent increase his contribution to the fund each year?(1) The parent’s contribution to the fund in the 18th year was $7600.(2) The parent’s contribution to the fund in the 7th year was twice what it was in the 3rd year.
If sequence S has 250 terms, what is the 243rd term of S ?(1) The 242nd term of S is –494.(2) The first term of S is –12, and each term of S after the first term is 2 less than the preceding term.
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