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=GROWTH()

Calculates predicted exponential growth by using existing data. GROWTH returns the y-values for a series of new x-values that you specify by using existing x-values and y-values. You can also use the GROWTH worksheet function to fit an exponential curve to existing x-values and y-values.

Applies To: Excel for Microsoft 365Excel for Microsoft 365 for MacExcel 2024Excel 2024 for MacExcel 2021Excel 2021 for MacExcel 2019Excel 2016
=GROWTH(known_y's, [known_x's], [new_x's], [const])
Hover argument names in the table for details.
Output typeArray
Popularity15 / 100
VolatileNo
Dynamic ArrayNo
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◧ Arguments

ArgumentTypeRequiredDescription
known_y's Range Required The set of y-values you already know in the relationship y = b*m^x. If the array known_y's is in a single column, then each column of known_x's is interpreted as a separate variable. If the array known_y's is in a single row, then each row of known_x's is interpreted as a separate variable. If any of the numbers in known_y's is 0 or negative, GROWTH returns the #NUM! error value.
known_x's Range Optional An optional set of x-values that you may already know in the relationship y = b*m^x. The array known_x's can include one or more sets of variables. If only one variable is used, known_y's and known_x's can be ranges of any shape, as long as they have equal dimensions. If more than one variable is used, known_y's must be a vector (that is, a range with a height of one row or a width of one column). If known_x's is omitted, it is assumed to be the array {1,2,3,...} that is the same size as known_y's.
new_x's Range Optional Are new x-values for which you want GROWTH to return corresponding y-values. New_x's must include a column (or row) for each independent variable, just as known_x's does. So, if known_y's is in a single column, known_x's and new_x's must have the same number of columns. If known_y's is in a single row, known_x's and new_x's must have the same number of rows. If new_x's is omitted, it is assumed to be the same as known_x's. If both known_x's and new_x's are omitted, they are assumed to be the array {1,2,3,...} that is the same size as known_y's.
const Logical Optional A logical value specifying whether to force the constant b to equal 1. If const is TRUE or omitted, b is calculated normally. If const is FALSE, b is set equal to 1 and the m-values are adjusted so that y = m^x.

▣ Examples

▦ Data
CellValue
A2 Month
B2 Units
C2 Formula (Corresponding Units)
A3 11
B3 33,100
C3 32,618
A4 12
B4 47,300
C4 47,729
A5 13
B5 69,000
C5 69,841
A6 14
B6 102,000
C6 102,197
A7 15
B7 150,000
C7 149,542
A8 16
B8 220,000
C8 218,822
A9 Month
B9 Formula (Predicted Units)
A10 17
B10 320,197
C10 =GROWTH(B2:B7,A2:A7)
A11 18
B11 468,536
B13 =GROWTH(B2:B7,A2:A7,A9:A10)
A14 Month
B14 Units
C14 Formula (Corresponding Units)
A15 11
B15 33,100
C15 32,618
A16 12
B16 47,300
C16 47,729
A17 13
B17 69,000
C17 69,841
A18 14
B18 102,000
C18 102,197
A19 15
B19 150,000
C19 149,542
A20 16
B20 220,000
C20 218,822
A21 Month
B21 Formula (Predicted Units)
A22 17
B22 320,197
C22 =GROWTH(B2:B7,A2:A7)
A23 18
B23 468,536
B25 =GROWTH(B2:B7,A2:A7,A9:A10)
Example 1 =GROWTH(B2:B13, A2:A13, A14:A16)
Example 2 =GROWTH(B2:B13, A2:A13)

§ Remarks

  • Formulas that return arrays must be entered as array formulas after selecting the correct number of cells.
  • When entering an array constant for an argument such as known_x's, use commas to separate values in the same row and semicolons to separate rows.

✦ Tips

  • Formulas that return arrays must be entered as array formulas after selecting the correct number of cells.
  • When entering an array constant for an argument such as known_x's, use commas to separate values in the same row and semicolons to separate rows.

⚠ Common Errors

#NUM! If any of the numbers in known_y's is 0 or negative, GROWTH returns the #NUM! error value.
Fix: Correct the input value

⇄ Related Functions

=LOGEST() The equation for the curve is: y = b*m^x or y = (b*(m1^x1)*(m2^x2)*_) if there are multiple x-values, where the dependent y-value is a function of the independent x-values. The m-values are bases corresponding to each exponent x-value, and b is a constant value. Note that y, x, and m can be vectors. The array that LOGEST returns is {mn,mn-1,...,m1,b}. =FORECAST.LINEAR() Predicts a future value based on the linear trend of past data =TREND() The TREND function returns values along a linear trend. It fits a straight line (using the method of least squares) to the array's known_y's and known_x's. TREND returns the y-values along that line for the array of new_x's that you specify.

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