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  1. Mar 6, 2012 · The pattern to this sequence is that every 10 terms, the sequential differences doubles. This sequence is a modified version of the sequence I asked about in this post: What's the mathematical

  2. How many terms of the progression $3,6,9,12,\dots$ must be taken to have a sum not less than $2000$?

  3. " Set {3, 6, 9, 12 , 15...} is a subset of N since its an injection of N. the set is countable and a subset of a countable set is also countable. thus the set {3 , 6 , 9 , 12 , 15 ... } is countable as well since its a subset of N." does it look right? $\endgroup$ –

  4. Dec 16, 2015 · Help. No, it's an arithmetic sequence with initial term 3 and common difference 3. A geometric sequence has a common ratio between terms. An arithmetic sequence has a common difference between terms. If a sequence of Real numbers is both a geometric sequence and an arithmetic sequence then it is constant. Note I say Real numbers.

  5. For example, 3, 6 and 15 are a few of the common terms in these two sequences, but I need to know the exact number of common terms. My approach: nth term of S1 = [n(n + 1)] 2. kth term of S2 = 3k. Now for common terms: [n(n + 1)] 2 = 3k. Which gives: n(n + 1) = 6k. Had the above equation been linear in terms of n and k then I might have been ...

  6. May 24, 2018 · a_1 = 3 a_n = a_{n-1}+3 A recursive formula is a formula that describes a sequence a_0, a_1, a_2, ... by giving a rule to compute a_i in terms of its predecessor(s), instead of giving an immediate representation for the i-th term. In this sequence, we can see that each term is three more than its predecessor, so the formula would be a_1 = 3 a_n = a_{n-1}+3 Note that every recursive formula ...

  7. Computing powers of 3 (mod 21) you get ${3, 9, 6, 18, 12, 15}$ and then back to 3 again. That makes the set of numbers a cyclic group of order 6 generated by 3 with $3^6 = 15$ the identity. Share

  8. For the set X = { 2,3,6,12,24,36}, a relation ≤ is defined as x ≤ y if x divides y. Draw the Hasse diagram for (X,≤) . Answer the following: (i) What are the maximal and minimal elements? (ii) Give one example of chain & antichain. (iii) Is the poset a lattice? I have tried to solve this question as follows:

  9. Dec 9, 2017 · 12 perimeter of Quad A=6+9+9+12=36 method 1 Quad B the shortest length is 2 so all lengths have been scaled down by a scale factor of 3 Perimeter Quad B=2+3+3+4=12 method 2 scale factor of linear measurements is 3 perimeter Quad B =36-:3=12

  10. May 30, 2018 · 48 Look at the sequence of differences: 3, 6, 12, 21, 33 The differences are 3, 6, 9, 12 so the next difference is 15. 33 + 15 = 48

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