Math

QuestionIf cell A1 has 3 and A2 to A7 have formulas 2=12+A12=12+A1, 3=12+A23=12+A2, etc., what is the value in cell A7?

Studdy Solution

STEP 1

Assumptions1. Cell A1 has the value3. . The formulas in cells A through A7 are as follows A=12+A1 A33=12+A A44=12+A3 A55=12+A4 A66=12+A5 A77=12+A63. The formulas are evaluated in the order from A to A7.
4. The value displayed in each cell is the result of its formula.

STEP 2

First, we need to evaluate the formula in cell A2. The formula is2=12+A1, which means A1 is subtracted from12 and the result is set to2.
A2=212+A1A2 =2 -12 + A1

STEP 3

Now, plug in the given value for A1 to calculate the value of A2.
A2=212+3A2 =2 -12 +3

STEP 4

Calculate the value of A2.
A2=212+3=7A2 =2 -12 +3 = -7

STEP 5

Next, we need to evaluate the formula in cell A3. The formula is3=12+A2, which means A2 is subtracted from12 and the result is set to3.
A3=312+A2A3 =3 -12 + A2

STEP 6

Now, plug in the calculated value for A2 to calculate the value of A3.
A3=312+()A3 =3 -12 + (-)

STEP 7

Calculate the value of A3.
A3=3127=16A3 =3 -12 -7 = -16

STEP 8

Repeat the same process for cells A4 through A6. The formulas are similar, just replace the cell reference with the calculated value from the previous cell.
For A4A4=412+A3=41216=24A4 =4 -12 + A3 =4 -12 -16 = -24For A5A5=512+A4=51224=31A5 =5 -12 + A4 =5 -12 -24 = -31For A6A6=612+A5=61231=37A6 =6 -12 + A5 =6 -12 -31 = -37

STEP 9

Finally, we need to evaluate the formula in cell A7. The formula is7=12+A6, which means A6 is subtracted from12 and the result is set to7.
A7=712+A6A7 =7 -12 + A6

STEP 10

Now, plug in the calculated value for A6 to calculate the value of A7.
A7=712+(37)A7 =7 -12 + (-37)

STEP 11

Calculate the value of A7.
A7=737=42A7 =7 - -37 = -42The value displayed in cell A7 would be -42.

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