In Robert Recorde's Grounde of Artes (1541), an arithmetic text for algorists and abacists, Recorde gave an rule for multiplying two one-digit numbers greater than 6. Here is the rule: first subtract each number from 10. The product of the two differences you get is the units digit in the product of the original numbers, and if you subtract one of the differences from the other original number, you get the tens digit in the product of the original numbers. A) Show two examples of this method.
B) Prove that it works.

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

it would be 6xy and -16xy.

144.50

step-by-step explanation:

21.5 x 13.4=288.10 divide by 2

6 cm

step-by-step explanation: