# Challenge! balance of numbers over months!

#### dannyok90

##### Board Regular
Hi All,

I have a challenge for you.

Im trying to come up with a way to balance hours over a period of time:

30 hours over 6 months for example
now, easily thats 5 hours a month.

but if i used a scale of 1-10:

10 meaning the majority of hours were going to be used at the end of the six months
1 meaning the majority of hours were going to be used at the start of the six months

if i set the balance to 1 (majority of hours to be used at the start)

how could i get excel to divvy the rest of the hours up going down in scale until the final (6th) month?

I've been at this for hours and cant think of anything, i've come close but no cigar!

any help?

Thanks, Dan

### Excel Facts

Square and cube roots
The =SQRT(25) is a square root. For a cube root, use =125^(1/3). For a fourth root, use =625^(1/4).

#### MickG

##### MrExcel MVP
Perhaps:-An Arithmetical Progression (adding common difference)

#### jim may

##### Well-known Member
FWIW....

Excel 2010
ABCDEFG
1
2One Method of Allocation is known as "SUM OF THE DIGITS" which takes the Sum of the Periods and
3for whatever period you want to use, say 6 (Months, Years,, whatever) allows you to apportion as:
46/21, 5/21, 4/21, 3/21, 2/21 and finally 1/21
5
6
7Total Hours to Allocate30
8Over Number of Periods6IncreasingDecreasing
9Sum of Digits - where x = 6(x²+x)/221
10Periods (below)16
1111.4285714298.571428571
1222.8571428577.142857143
1334.2857142865.714285714
1445.7142857144.285714286
1557.1428571432.857142857
1668.5714285711.428571429
17
18Sum >>>30.0000030.00000
19

</tbody>
Sheet1

Worksheet Formulas
CellFormula
C9=((C8*C8)+C8)/2
F11=(\$C\$7*(\$E11/\$C\$9))
G11=(\$C\$7*(OFFSET(\$E\$11,16-ROW(),0)/\$C\$9))
F18=SUM(F11:F16)
G18=SUM(G11:G16)

</tbody>

<tbody>
</tbody>

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