Formulas and Functions

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Welcome
- DATE
- DATEDIF
- DATEVALUE
- DAY
- DAYNAME
- DAYS360
- EDATE
- EOMONTH
- HOUR
- ISOWEEKNUM
- MINUTE
- MONTH
- MONTHNAME
- NETWORKDAYS
- NOW
- SECOND
- TIME
- TIMEVALUE
- TODAY
- WEEKDAY
- WEEKNUM
- WORKDAY
- YEAR
- YEARFRAC
- BASETONUM
- BESSELJ
- BESSELY
- BIN2DEC
- BIN2HEX
- BIN2OCT
- BITAND
- BITOR
- BITXOR
- BITLSHIFT
- BITRSHIFT
- CONVERT
- DEC2BIN
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- DEC2OCT
- DELTA
- ERF
- ERFC
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- SUM
- SUMIF
- SUMIFS
- SUMPRODUCT
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- T
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- ATANH
- COS
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- DEGREES
- RADIANS
- SIN
- SINH
- TAN
- TANH
Copyright

SERIESSUM

The SERIESSUM function computes and returns the sum of a power series. The coefficients are for successive powers of x-value incremented by step-value.

SERIESSUM(x-value, power, step-value, coefficients)

x-value: The x value input to the power series. x-value is a number value.

power: A number value representing the initial power to which to raise x-value.

step-value: A number value representing the step by which to increase power for each term in the series.

coefficients: The coefficients by which each successive power of x-value is multiplied. The number of coefficients determines the number of terms in the power series. coefficients is a collection containing number values.

Notes

The SERIESSUM function supports an arbitrary starting point and arbitrary spacing of exponents. If neither of these is required, consider using the POLYNOMIAL function.

Higher-order terms are expressed last. The coefficients (a_i) are for successive powers of x-value. In the following formula, "x" represents x-value, "n" represents power and "m" represents step-value. The formula used by the SERIESSUM function is: a₁ xⁿ + a₂ x^(n+m) + a₃ x^(n+2m) + ... + a_k x^{(n + (k-1)m)}, where k is the number of coefficients.

Exponents must be non-negative integers.

Examples

=SERIESSUM(2, 0, 1, 9) returns 9.

=SERIESSUM(2, 0, 1, 1) returns 1.

See alsoPOLYNOMIAL

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