How Do I Add Sequences Together?
You did what Euler did as a little kid when he added from 1 all the way to 100 in 2 minutes. You pair the first with the last, the second with the second last, and so on until you've paired everything. You find the sum of one pair and multiply it by the number of pairs to find the total sum. 10 + 110 + 210 + 310 = (10 + 310) + (110 + 210) ...................................= 320 + 320 ...................................= 640 20 + 30 + 40 + 50 = (20 + 50) + (30 + 40) .............................= 70 + 70 .............................= 140 640 + 140 = 780 1 + 3 + 5 + 7 2 pairs (4 numbers) 1 + 7 = 8 8 * 2 = 16 1 + 3 + 5 + 7 = 16 20 + 30 + 40 + 50 2 pairs (4 numbers) 20 + 50 = 70 70 * 2 = 140 20 + 30 + 40 + 50 = 140 Keep going.
How do I find the formula of these sequences?
(1) If we ignore that -ve sign for the moment then you will see that we could write the numerators as 6, 7, 8,... i.e. 6 + (n-1)*1 or to simplify that, 5 + n, where n stands for the position in the sequence, If we write the first term as 6/1 or (5 + n)/1 then the denominators are 1, 8, 27... or 1^3, 2^3, 3^3 i.e. n^3 so that we now have U(n) = (5 + n)/n^3 so all we need to do now is to explain that - 1 and we can do so by giving every term a factor of (-1)^(n+1) so that we now have U(n) = (-1)^(n+1)*(5+n)/n^3 (2) This one is actually two separate sequences, with the numerators of 6, 10, 14 being 6 + (n-1)*4 = 6 + 4n - 4 = 4n + 2 (check that and you will see it gives the other terms). The denominators, 7, 11, 15... are 7 + (n-1)*4 = 7 + 4n - 4 = 4n + 3 so the whole sequence is U(n) = (4n + 2)/(4n + 3).
Sequences and Series. HELP!!!?
A sequence is a set of numbers separated by commas. A series is a set of numbers separated by addition signs, and a certain number of the terms are usually added. You have to find whether the sequence is arithmetic or geometric. 9.2 - 8.0 = 1.2 8.0 - 6.8 = 1.2 So the first sequence is arithmetic. 16 - (-8) = 24 -8 - 4 = -12 4 - (-2) = 6 So the second sequence is not arithmetic. 16/-8 = -2 -8/4 = -2 4/-2 = -2 So the second sequence is geometric. FORMULAE: To find a specific term for an arithmetic sequence, you can use the formula: An = A1 + (n-1)d An is the value of a specific term. A1 is the first term of the sequence. n is the term number. d is the common difference (1.2 for the first sequence you provided) To find the sum of an arithmetic series: Sn = n/2 [2A1 + (n-1)d] Sn is the sum of the series. n is the number of terms. A1 is the first term. d is the common difference. To find a specific term in a geometric sequence: An = A1r^n-1 An is the value of a specific term. A1 is the first term of the sequence. r is the common ratio (-2 in the second sequence you provided) n is the specific term number you're looking for. To find the sum of a geometric series: Sn = A1(1 - r^n)/1-r Sn is the sum of the series. A1 is the first term. r is the common ratio. n is the number of terms in the series. I know it's a lot but I hope it helps!
Awesome question.We have two major tools when it comes to dna editing. Kinases, which can cut the dna, and a retrovirus, which can insert dna. Both of these proteins came from viruses and bacteria, we didnt make them. We found them.With kinases, you can cut DNA at a specific sequence, and not anywhere else. This makes things difficult because its very hard to design a new one that still works. So you have to hope theres a place to cut that matches a kinase you already have.Retroviruses work by inserting their dna into yours. We can actually track retroviruses by genetically sequencing people and seeing the remnants of old retroviruses. We just replace the dna in the retrovirus so that it inserts what we want instead of the virus dna.With those two tools, you can write DNA.Good luck getting it to encode a working protein though.Protein folding is still an unsolved field of science. You have to match the charges along the side of the peptides such that it folds right. Complicated interactions between disparate sections of the peptide chain and resource availability govern this process in hard to predict ways. Imagine if you had to build aworking car, out of magnets, by holding a magnet to catch and guide little magnets, that just happen to be floating around randomly.If you are interested in this try out the game foldit.com. it will show you how complex it can get
Can you show me how do these 'sequence' problems?
Convergent and divergent production are the two types of human response to a set problem that were identified by J.P. Guilford (1967). Guilford observed that most individuals display a preference for either convergent or divergent thinking. Others observe that most people prefer a convergent closure.[citation needed] As opposed to TRIZ or lateral thinking divergent thinking is not about tools for creativity or thinking, but a way of categorizing what can be observed. Contents 1 Divergent thinking 2 Critic of the analytic/dialectic approach 3 References 4 See also Divergent thinking[edit] According to J.P. Guilford, divergent or "synthetic thinking" is the ability to draw on ideas from across disciplines and fields of inquiry to reach a deeper understanding of the world and one's place in it. There is a movement in education that maintains divergent thinking might create more resourceful students. Rather than presenting a series of problems for rote memorization or resolution, divergent thinking presents open-ended problems and encourages students to develop their own solutions to problems. Divergent production is the creative generation of multiple answers to a set problem. For example, find uses for 1 meter lengths of black cotton. Critic of the analytic/dialectic approach[edit] While the observations made in psychology can be used to analyze the thinking of humans, such categories may also lead to oversimplifications and dialectic thinking. The systematic use of convergent thinking may well lead to what is known as Group think—thus one should probably combine systematic use with critical thinking. Categorizing thinkers as "divergent" or "convergent" may seem appropriate for the purpose of general analyses
Within the context of genomics / bioinformatics:"sequence alignment" is the process of matching "reads" (25 - 500 base-pair nucelotide chains) to their corresponding position along the entire length of the DNA chain.As you can imagine with a human genome coming in around 3 billion base pairs, thats ~60 million individual "reads"... each read having a fair amount of ambiguity as to where it might belong...Care is taken to over-sample each genome, often you will see something like "30x coverage of an Ecoli genome". This redundancy allows for higher integrity in the data once reassembled.A typical timeline follows:1. sample dna extracted2. sample dna strands hacked apart into smaller pieces ( "short reads" )3. short reads are digitized one base-pair at a time in a sequencer 4. the gross reads will be stored in a file format such as FASTQ or FASTA 5. large scale computing power comes into play to run either a dinovo ( a brand new alignment ) or a matched alignment ( if we're talking HUMANS... HG18 or HG19 will be used as a template )
Arithmetic Sequence help!?
a) 20, 13.4, 6.8, 0.2, -6.4, -13, ... here first term, a = 20 common difference, d = 13.4 - 20 = -6.6 n =37 Sn = n/2 [ 2a + (n-1)d] s37 = 37/2 [ 2(20) + (37-1)(-6.6] = 37/2 [ 40 - 237.6] = -3655.6 b) here first term, a = 8 common difference, d = 3-8 = -5 nth term an is given by an = a + (n-1)d => -222 = 8 + (n-1)(-5) 8 - 5n + 5 = -222 5n = 222 + 13 = 235 n = 235/5 = 47 so 47 term is - 222
I’d run a BLAST (Basic Local Alignment Search Tool) on NCBI comparing your RNA sequences to the Xbp1 gene sequence. You can use the “align two sequences” option to compare the sequences.UCSC Genome Browser v342 This database seems to have your target sequence.Expect gaps since you’re looking at the DNA sequence where the introns have not yet been spliced.You might have to convert your fastq file to fasta format in order for NCBI to read it. If it’s not too long you can do this manually by removing the quality lines and changing the header to> “Your name of choice”the RNA sequence would then start on the next line.If this is implausible, R and biopython etc. all have packages which allow you to do this (feel free to ask for more detail, I’m most comfortable with R, also, there are lots of resources online). I think there are also websites online which do it for you but I’ve never used them myself so I can’t give any concrete suggestions.Best of luck! I hope this was at least somewhat helpful.