Summation Notation

Key Questions

• What are some examples of summation notation?

  Answer:

  #sum_(n=1)^ooa_n=a_1+a_2+a_3+...#

  #sum_(n=0)^10n^2#

  Explanation:

  The summation notation is mostly used to represents series or to express a series in a short form.

  For example : if I want to write the series : #1+4+9+16+25#
  in summation notation I would simply write:

  #sum_(n=1)^5n^2#

  Antoine · 1 · Sep 2 2015
• How do I use summation notation on a calculator?

  Answer:

  It depends on the brand of calculator you have.

  Explanation:

  The only calculator series I'm familiar with is the Casio fx series, so I'll give an answer based on them.

  As far as I'm aware, Casio fx- 991ES and any calculator beyond that can perform summations using sigma notation.

  Monzur R. · 1 · Aug 9 2017
• What is summation notation?

  Answer:

  Summation is a shorthand way for writing long additions.

  Explanation:

  Say you want to add all numbers up to and including 50.
  Then you could write out:
  #1+2+3+......+49+50#
  (If you really write this out in full, it'll be a long line of numbers).

  With this notation you would write:
  #sum_(k=1)^50 k#
  Meaning: sum up all the numbers #k# from #1to50#
  The #Sigma#-(sigma)-sign is the Greek letter for #S# (sum).

  Another example:
  If you want to add all the squares from #1to10# you simply write:
  #sum_(k=1)^10 k^2#
  You see that this #Sigma#-thing is a very versatile tool.

  MeneerNask · 2 · Jun 25 2015

• What is summation notation?
• What are some examples of summation notation?
• What is a sample summation notation problem?
• How do I use summation notation on a calculator?
• How do I use summation notation with infinity?
• How do I use summation notation to write the series 2 + 4 + 6 +... for 10 terms?
• How do I use summation notation to write the series 2.2 + 8.8?
• How do I use summation notation to write the series 2.2 + 6.6?
• How do I use summation notation to write the series 2.2 + 6.6 + 11?
• What is the difference between a sequence and a series in math?
• Question #c0cfe
• How do you write sums in expanded form?
• How do you find the sum of the series #3i# from i=1 to i=6?
• How do you find the sum of the series #12i# from i=0 to i=5?
• How do you find the sum of the series #n^2# from n=0 to n=4?
• How do you find the sum of the series #4n^3# from n=1 to n=3?
• How do you find the sum of the series #k^2-1# from k=1 to 5?
• How do you find the sum of the series #2n^2+1# from n=0 to 4?
• How do you find the sum of the series #k(k+2)# from k=1 to 4?
• How do you find the sum of the series #2/n# from n=2 to 10?
• How do you find the sum of the series #5/(n+1)# from n=1 to 5?
• How do you find the sum of the series #i/(i-1)# from i=2 to 6?
• How do you find the sum of the series #1# from i=1 to 42?
• How do you find the sum of the series #n# from n=1 to 5?
• How do you find the sum of the series #i# from i=1 to 18?
• How do you find the sum of the series #k# from k=1 to 20?
• How do you find the sum of the series #n^2# from n=1 to 6?
• How do you find the sum of the series #i^2# from i=1 to 12?
• How do you find the sum of the series #k^2# from k=1 to 35?
• How do you express #4.234# as a fraction?
• How do you solve the following question: Show that set of real numbers #x#, which satisfy the inequality #sum_(k=1)^70 k/(x-k) ge 5/4# is a union of disjoint intervals, the sum of whose lengths is 1988?
• Question #c9d66
• Question #b2691
• What is the value of the sum: #(1^2)+(1^2+2^2)+(1^2+2^2+3^2)+............#upto n terms? Thank you!
• What is the value of the sum of the sequence: #1+5+14+30+...........# upto n terms? Thank you!
• Question #ef517
• Find #sum_1^7 (1+n^2)#?
• How do you find the partial sum of #sum_(r=0)^(100)(8-3r)/16# ?
• By considering #1+ cistheta + cis2theta + cis3theta + .... + cisntheta# as a geometric series, can you find: #sum_(r=0)^n cosrtheta#?
• Question #5acf3
• How do you evaluate #\frac { 1} { 2} \sum _ { k = 1} ^ { 3} \frac { 2} { k }#?
• How do you evaluate #\sum _ { n = 1} ^ { 20} ( n + n ^ { 3} ) #?
• Derive the Formula #sum_(k=1)^nk^4=1/30(6n^5+15n^4+10n^3-n)#?
• Question #78b00
• Evaluate the sum #sum_(i=1)^n (12i^2(i-1))/n^4# for #n=10,100,1000# and #10000#?
• By using method of differences, how can we get f(n)-f(0) but y not f(1)-f(n-1), from ∑f(r)-f(r-1)?
• Summation of series(method of differences),When we use #∑f(r)-f(r+1#),how can we know it is #f(1)-f(n+1)#, but not #f(n)-f(1+1)#? Also, how can we know it is #f(n+1)-f(1)# but not #f(1+1)-f(n)# when we use #∑f(r+1)-f(r)#?
• Prove by Mathematical Induction? : # sum_(k=0)^n x^k = (1-x^(n+1)) / (1-x) #
• What is the sum #1/2+1/6+1/12+1/20+...+1/(a^2-a)# ?
• Prove by Mathematical Induction? : # 1 + 2(1/2) + 3(1/2)^2 + 4(1/2)^3 + ...+ n(1/2)^(n-1) = 4 - ((n+2)/2^(n-1)) #
• Find a general formula for # S(n)=sum_4^(n)(1/(k-3)-1/(k))# and evaluate the limit #S=lim_(n rarr oo) S(n)#?
• Prove that #sum_(k=1)^n k 2^k = (n-1)2^(n+1) + 2 #?
• Find the partial sum?
• An interesting problem...?