| 单词 | geometric series |
| 例句 | Over the next two hours we submerge ourselves in finding the sums of infinite geometric series, calculating iterate functions, and expanding powers of binomials. The Running Dream 2011-01-11T00:00:00Z How is finding the sum of an infinite geometric series different from finding the partial sum? College Algebra with Corequisite Support 2020-09-23T00:00:00Z A geometric series is the sum of the terms in a geometric sequence. College Algebra 2021-12-21T00:00:00Z We cannot find a sum of an infinite geometric series when |r| ≥ 1. Intermediate Algebra 2020-05-06T00:00:00Z The series is not similar to a p-series or geometric series. Calculus, Vol 2 2016-03-30T00:00:00Z We can find the value of the annuity right after the last deposit by using a geometric series with and After the first deposit, the value of the annuity will be $50. Algebra and Trigonometry 2015-02-13T00:00:00Z It was an imaginative start to designer Satoshi Kondo’s fall show, which began with a geometric series that riffed on this idea of thick lines cut out on clothes. Rain, art and winter wonderlands at Paris Fashion Week 2020-03-01T05:00:00Z In the chapter about rhythm, he ventures into infinite geometric series using dotted rhythms for motivation. From Music to Mathematics: Exploring the Connections (Review) 2018-02-24T05:00:00Z TRY IT : : 12.53 Find the sum of the infinite geometric series 48 + 24 + 12 + 6 + 3 + 3 + … Intermediate Algebra 2020-05-06T00:00:00Z Any geometric series can be reindexed to be written in the form a + ar + ar 2 + ⋯, where a is the initial term and r is the ratio. Calculus, Vol 2 2016-03-30T00:00:00Z We can find the value of the annuity after deposits using the formula for the sum of the first terms of a geometric series. Algebra and Trigonometry 2015-02-13T00:00:00Z We now turn our attention to a nice application of geometric series. Calculus, Vol 2 2016-03-30T00:00:00Z For a series that is similar to a geometric series or p − series, consider one of the comparison tests. Calculus, Vol 2 2016-03-30T00:00:00Z An interesting use of infinite geometric series is to write a repeating decimal as a fraction. Intermediate Algebra 2020-05-06T00:00:00Z Next we consider functions involving an expression similar to the sum of a geometric series and show how to represent these functions using power series. Calculus, Vol 2 2016-03-30T00:00:00Z Substitute into the formula for the sum of the first terms of a geometric series, and simplify to find the value of the annuity. Algebra and Trigonometry 2015-02-13T00:00:00Z Since this is a geometric series, the series converges if and only if |2x| < 1. Calculus, Vol 2 2016-03-30T00:00:00Z We will use geometric series in the next chapter to write certain functions as polynomials with an infinite number of terms. Calculus, Vol 2 2016-03-30T00:00:00Z This situation continues and so leads us to an infinite geometric series. Intermediate Algebra 2020-05-06T00:00:00Z In general, when does a geometric series converge? Calculus, Vol 2 2016-03-30T00:00:00Z For the following exercises, find the sum of the infinite geometric series. Algebra and Trigonometry 2015-02-13T00:00:00Z This series is an example of a geometric series. Calculus, Vol 2 2016-03-30T00:00:00Z We discuss geometric series in more detail later in this section. Calculus, Vol 2 2016-03-30T00:00:00Z We use the formula for the sum on an infinite geometric series. Intermediate Algebra 2020-05-06T00:00:00Z The series is not a p – series or geometric series. Calculus, Vol 2 2016-03-30T00:00:00Z The sum of an infinite geometric series is five times the value of the first term. Algebra and Trigonometry 2015-02-13T00:00:00Z As long as we can rewrite the series in the form given by Equation 5.5, it is a geometric series. Calculus, Vol 2 2016-03-30T00:00:00Z Typically these tests are used to determine convergence of series that are similar to geometric series or p-series. Calculus, Vol 2 2016-03-30T00:00:00Z In your own words, explain how to determine if an infinite geometric series has a sum and how to find it. Intermediate Algebra 2020-05-06T00:00:00Z This function is not in the exact form of a sum of a geometric series. Calculus, Vol 2 2016-03-30T00:00:00Z The sum of the terms in a geometric sequence is called a geometric series. Algebra and Trigonometry 2015-02-13T00:00:00Z In the previous two sections we discussed how to find power series representations for certain types of functions––specifically, functions related to geometric series. Calculus, Vol 2 2016-03-30T00:00:00Z Just as with arithmetic series, we can do some algebraic manipulation to derive a formula for the sum of the first terms of a geometric series. Algebra and Trigonometry 2015-02-13T00:00:00Z If |r| ≥ 1, the infinite geometric series does not have a sum. Intermediate Algebra 2020-05-06T00:00:00Z However, with a little algebraic manipulation, we can relate f to a geometric series. Calculus, Vol 2 2016-03-30T00:00:00Z The value of an annuity can be found using geometric series. Algebra and Trigonometry 2015-02-13T00:00:00Z The formula for the sum of an infinite series is related to the formula for the sum of the first terms of a geometric series. Algebra and Trigonometry 2015-02-13T00:00:00Z Use the formula to find the indicated partial sum of each geometric series. Algebra and Trigonometry 2015-02-13T00:00:00Z In your own words, explain the difference between a geometric sequence and a geometric series. Intermediate Algebra 2020-05-06T00:00:00Z We introduce one of the most important types of series: the geometric series. Calculus, Vol 2 2016-03-30T00:00:00Z Use the formula for the sum of the first n terms of a geometric series. Algebra and Trigonometry 2015-02-13T00:00:00Z For the following exercises, use the formula for the sum of the first terms of a geometric series to find the partial sum. Algebra and Trigonometry 2015-02-13T00:00:00Z Then use the formula for finding the sum of an infinite geometric series to convert to a fraction. Algebra and Trigonometry 2015-02-13T00:00:00Z The sum of the first terms of a geometric series can be found using a formula. Algebra and Trigonometry 2015-02-13T00:00:00Z Determine whether each of the following geometric series converges or diverges, and if it converges, find its sum. Calculus, Vol 2 2016-03-30T00:00:00Z Use the formula for the sum of an infinite geometric series. Algebra and Trigonometry 2015-02-13T00:00:00Z |
| 随便看 |
英语例句辞典收录了117811条英语例句在线翻译词条，基本涵盖了全部常用单词及词组的例句翻译及用法，是英语学习的有利工具。