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...?