Formulas and Functions
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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 (ai) 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) + ... + ak 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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