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【OG20-P279-312題】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.
【OG18-P273-257題】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.
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.
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
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
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.
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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