The sum of an infinite geometric sequence is 12 and the first term is 3. What is the common ratio? A. 1/4 B. 1/3 C. 1/2 D. 2/3 相关知识点: 试题来源: 解析 C。根据无穷等比数列求和公式 S = a1 / (1 - q) ,可得 12 = 3 / (1 - q) ,解得 q = 1/2 。A 选项 1/4...
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 。
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
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 ...
Geometric Sum FormulaBefore going learn the geometric sum formula, let us recall what is a geometric sequence. A geometric sequence is a sequence where every term has a constant ratio to its preceding term. A geometric sequence with the first term a and the common ratio r and has a finite...
In mathematics, a geometric sequence or a geometric progression is a series of numbers that is formed when the next number in the series is formed by multiplying the previous number by a constant known as the common ratio. For example, {eq}1...
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 ...
The members of these two sequences have some interesting properties. Whenever youaddtwo even integers together, or two odd integers together, the answer is always an even number. For example, 2 + 6 = 8, 1 + 5 = 6, or 11 + 17 = 28—always even! However, whenever you add one even...
Geometric Progression A sequence of non-zero numbers is called a geometric progression (abbreviated as G.P.). If the ratio of a term and the term preceding it is always a constant quantity. The constant ratio is called the common ratio of the G.P. General Term of a Geometric Progression...
How Geometric Sequences Work A geometric sequence is defined by its starting number a, the common factor r and the number of terms S. The corresponding general form of a geometric sequence is: a,ar,ar2,ar3,...,arS−1 ...