Summation Calculator (`Sigma`)

See guidelines and examples below.

Answer

`\sum_{k=1}^{100} k^2 = `

`338350`

Do you have any suggestions to improve this page ?

Share calculation and page on

Cet outil calcul la somme d'une suite de termes, notée comme suit,

`\sum_{k=p}^{n} u_k = u_p + u_(p+1) + ... + u_(n-1) + u_n`

• k is the sommation index,
• p et n are respectively the lower and upper range of the sommation, which means that the sum of the `u_k` terms begin from k=p and end at k=n.

How to use this calculator ?

'index' field	Input a single letter which denotes the sommation index. Example: i or k
'Calculate sum of' field	Expression (above `u_i`) to sum. this field may include a secondary variable, e.g. `u_i = i + m` see more details below.
'from index' field	lower limit of the index range (denoted 'p' above). You may input a number or a secondary variable.
'to index' field	upper limit of the index range (denoted 'n' ci-dessus). You may input a number or a secondary variable or oo (double o) for '+infinity' which is useful for infinite sum calculations.

Authorized expressions

• Numbers : digits, fractions, decimal numbers (separator : dot)

• Operators : + - * / ^ (power)
To multiply a by b, input a*b and not ab, e.g. 2*x.

• Constants : pi, e

• Functions
sqrt (square root), exp (exponential), log(x) or ln (natural logarithm), sin (sine), cos (cosine), tan (tangent), cot (cotangent), sec (secant), csc (cosecant), asin (arcsine), acos (arccosine), atan (arctangent), acot (arccotangent), asec (arcsecant), acsc (arccosecant) sinh (hyperbolic sine), cosh (hyperbolic cosine), tanh (hyperbolic tangent), coth (hyperbolic cotangent), sech (hyperbolic secant), csch (hyperbolic cosecant) asinh (Inverse hyperbolic sine) acosh (Inverse hyperbolic cosine), atanh (Inverse hyperbolic tangent), acoth (Inverse hyperbolic cotangent), asech (Inverse hyperbolic secant), acsch (Inverse hyperbolic cosecant)