(1)We will call a sequence an arithmetic sequence if there is a common difference意思是我们称一个有相等差别的数列为算术数列,其实说白了就是我们的等差数列如1,3,5,7,9.(2)A Geometric Sequence is a sequence which the ratio of the common terms is equal.The general term is an = a1 * r...
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Hence, these consecutive amounts of Carbon 14 are the terms of a decreasing geometric progression with common ratio of 陆.This chapter is for those who want to see applications of arithmetic and geometric progressions to real life. There are many applications for sciences, business, personal ...
For arithmetic sequences, the common difference isd, and the first terma1is often referred to simply as"a". Since we get the next term by adding the common difference, the value ofa2is just: a2=a+d Continuing, the third term is: ...
(1)We will call a sequence an arithmetic sequence if there is a common difference意思是我们称一个有相等差别的数列为算术数列,其实说白了就是我们的等差数列如1,3,5,7,9.(2)A Geometric Sequence is a sequence which the ratio of the common terms is equal.The general term is an = a1 * r...
Common ratio,r=1.04r=1.04 The formula to find the amount after 6 years is − The amount would grow to about Rs. 6326 after 6 years. Conclusion In this chapter, we explained the concept of arithmetic and geometric sequences in discrete mathematics. Arithmetic sequences involve adding a cons...
Findtwoarithmeticmeansbetween–4and5 -4,___,___,5 1 aFirstterm n anthterm n Ssumofnterms nnumberofterms dcommondifference -4 4 5 NA x n1 aan1d 1544x x3 Thetwoarithmeticmeansare–1and2,since–4,-1,2,5 formsanarithmeticsequence Findthreearithmeticmeansbetween1and4 1,___...
When it comes to mathematical series (both geometric and arithmetic sequences), they are often grouped in two different categories, depending on whether their infinite sum is finite (convergent series) or infinite / non-defined (divergent series). The best way to know if a series is convergent...
Plugging in the values, we get a₁ = 1/2 and r = 2. So, the tenth term is a₁₀ = (1/2) * 2^(10-1) = 256. Therefore, the correct answer is 256. Rate this question: 8 4. The first term of an arithmetic sequence is 10, and the common difference is 4. Find ...
Arithmetic sequences and geometric sequences are different because they do not have the same type of difference between each term in the sequence. An...Become a member and unlock all Study Answers Start today. Try it now Create an account Ask a question Our experts can answer your tough...