## SEVENTY TIMES SEVEN

What is so special about “70 x 7,” the factor that emerges in many parts of the Bible through calculation with the Sower’s numbers (30-60-100 or 100-60-30)?

I like the answer I’ve come up with in my post on Pαscαl’s Triangle (side-bar).

But here is another clue I’ve found: When 70 x 7 or 490 (or even 49) is the divisor, the decimal fraction that results has some number sequences that seem magical. Each number is twice the previous number!!! For example: 06 12 24 48.

Could the ancients have been fixated on such things??

The decimal results obtained by dividing certain numbers by 81 (the number set for Ezekiel temple measurements) is also interesting. The result is eight consecutive numbers in sequence that repeat. For example: 0 1 2 3 4 5 6 7 or 9 8 7 6 5 4 3 2.

But how could the ancients know of it without a 34-place Windows calculator?

Ten examples follow:

DIVIDING BY 490

Example one: 1 / 490 =

0.00204081632653061224489795918367

Sequence is 02 04 08 16 32 or 20 40; then 3 06 12 24 48 or 22 44; then 9 18 36

Each number is twice the previous number!!!

This only seems to work with whole numbers (integers)

Example two: 55/490 =

0.11224489795918367346938775510204

Sequence is 12 24 48 or 11 22 44; then 9 18 36; then 1 02 04 or 5 10 20

Each twice previous

Example three: 99/490 =

0.20204081632653061224489795918367

Sequence is 02 04 08 16 32 or 20 40; then 3 06 12 24 48 or 22 44; then 9 18 36

Each twice previous

Example four: 1260 / 490 =

2.5714285714285714285714285714286

Sequence is 7 14 28 (repeats)

Each twice previous

A number divisible by 7 will have that pattern or similar when divided by 490

Example five: 27 / 490 =

0.05510204081632653061224489795918

Sequence is 5 10 20 40 or 1 02 04 08 16 32; then 3 06 12 24 48; then 9 18

Each twice previous

SUMS OF DECIMALS

Example six:

Sum of (100 / 490) + (30 / 490) + (60 / 490) =

0.38775510204081632653061224489796

Sequence is 5 10 20 40 or 1 02 04 08 16 32; then 06 12 24 48 or 22 44 or 4 8

This ability to sum the decimals and still get the same sort of “doubling” holds for at least one other example. Likewise for subtracting one decimal result from another (based on examples not shown).

DIVIDING BY 81

Example seven: 10/ 81 =

0.12345679012345679012345679012346

Notice the sequence of eight consecutive numbers: 0 1 2 3 4 5 6 7; then repeats

Each number is one more than the previous number

Example eight: Likewise for numbers in intervals of 10 + 9n, divided by 81; for example, 10 + 9 = 19; then

19 / 81 =

0.23456790123456790123456790123457

Notice the sequence 0 1 2 3 4 5 6 7; then repeats

Example nine: a reverse sequence of eight consecutive numbers

8 / 81 =

0.09876543209876543209876543209877

Notice the sequence 9 8 7 6 5 4 3 2; then repeats

Each number is one less than the previous number

Example ten: Likewise for numbers in increments of 8 + 9n, divided by 81; for example, 8 + 9 = 17;

17 / 81 =

0.20987654320987654320987654320988

Notice the sequence 9 8 7 6 5 4 3 2; then repeats

Each one less than previous

.