In a geometric sequence, each term is equal to the previous term times a constant, non-zero multiplier called the common factor. Geometric sequences can have a fixed number of terms, or they can be infinite. In either case, the terms of a geometric sequence can rapidly become very large,...
45 Yuval Peres Coloring a graph arising from a lacunary sequence 59:15 Vojtěch Rödl On two Ramsey type problems for Kt+1-free graphs 47:07 Vilmos Totik Erdős on polynomials And Ben Green The sum-free set constant is ⅓ 1:45:31 Tomasz Łuczak Threshold functions a historical ...
What is a Mathematical Sequence? In both math and English, a “sequence” refers to a group of things arranged in some particular order. Outside of math, the things being arranged could be anything—perhaps the sequence of steps in baking a pie. But in math, the things being arranged are...
In a geometric sequence, the first term is 2 and the common ratio is 3. What is the 4th term? A. 18 B. 54 C. 16 D. 32 相关知识点: 试题来源: 解析 B。等比数列通项公式为 an = a1×r^(n - 1) ,将 a1 = 2,r = 3,n = 4 代入,可得 a4 = 2×3^(4 - 1) = 54 。
When this is the case, investigating the choice of a name can reveal interesting and unforeseen connections among mathematical topics. In this study, we tasked prospective and practicing teachers to consider: What is geometric about geometric sequences? Participants embedded their answers to this ...
百度试题 结果1 题目What is the first term of the geometric sequence when t = 1,536 and t = 12? A: 6 B: 2 C: 3 D: 9 相关知识点: 试题来源: 解析 C None 反馈 收藏
In a geometric sequence of real numbers, the sum of the first six terms is 9 times the sum of the first three terms. If the first term is 5, what is the third term? What is the value of the fourth term in a geometric sequence for...
An infinite series is the sum of terms in an infinitely long sequence, but taking the sum of terms in a finite portion of the sequence is called a partial sum. Explore these two concepts through examples of five types of series: arithmetic, geometri...
结果1 题目 The first and second terms of a geometric sequence are n and an, in that order. What is the 1,000th term of the sequence? ( ) A. a^(999)n B. a^(1,000)n C. a^(1,001)n D. (an)^(999) E. (an)^(1,000) 相关知识点: 试题来源: 解析 A 反馈 收藏 ...
is positive, the sequence keeps increasing by a fixed amount, while if it is negative, the sequence decreases. Other common sequences are the geometric sequence, in which terms differ by a common factor, and the Fibonacci sequence, in which each number is the sum of the two previous ...