According to: http://www.phrases.org.uk/bulletin_board/17/messages/380.html
The term five by five refers to the two measures of signal strength and readability; it is derived from older HAM radio instruments that were scaled from zero to 10 with 10 being the strongest. A five by five would be interpreted as 50 percent signal strength and easily readable, perhaps with some static or band clutter. A 10 by two would have a strong signal, but be broken and hard to understand, while a two by 10 would contain a weak signal, but be perfectly clear. A 10 by 10 would be very strong and crystal clear.
Factor out each term by term to get: 5 x 7007 = 5 x 7 x 1001 = 5 x 7 x 13 x 77 = 5 x 7² x 11 x 13
It is an arithmetic series with initial number as 7 and an increment of -5, hence the nth term in general = (7 - 5 x n). You can verify this 0th term = (7 - 5 x 0) = 7 1st term = (7 - 5 x 1) = 2 2nd term = (7 - 5 x 2) = -3 ... ... 14th term = (7 - 5 x 14) = -63
675/975 = 135 x 5/195 x 5 = 27 x 5/39 x 5 = 9 x 3/13 x 3 = 9/13
Each term is increased by adding five times three to an increasing exponent. 2 + 5 x 3 to the zero = 7 + 5 x 3 to the first = 22 + 5 x 3 squared = 67 The next term would be 202 which makes the rule something like n = n + 5 x 3 to the x+1, but please double-check that.
Each term in the sequence is three times the previous term plus two, so the next term is 485.1 (3 x 1 + 2) 5 (3 x 5 + 2) 17 (3 x 17 + 2) 53 (3 x 53 = 2) 161 (3 x 161 + 2) 485
Factor out each term by term to get: 5 x 7007 = 5 x 7 x 1001 = 5 x 7 x 13 x 77 = 5 x 7² x 11 x 13
It is an arithmetic series with initial number as 7 and an increment of -5, hence the nth term in general = (7 - 5 x n). You can verify this 0th term = (7 - 5 x 0) = 7 1st term = (7 - 5 x 1) = 2 2nd term = (7 - 5 x 2) = -3 ... ... 14th term = (7 - 5 x 14) = -63
5 x 5 x 5 does indeed come to 125.
675/975 = 135 x 5/195 x 5 = 27 x 5/39 x 5 = 9 x 3/13 x 3 = 9/13
Each term is increased by adding five times three to an increasing exponent. 2 + 5 x 3 to the zero = 7 + 5 x 3 to the first = 22 + 5 x 3 squared = 67 The next term would be 202 which makes the rule something like n = n + 5 x 3 to the x+1, but please double-check that.
(2x - 5)(x + 1) or (2x + 5)(x - 1) depending on the sign of the term 3x
Factor out each term to get: 5000 = 10 x 500 = 2 x 5 x 25 x 20 = 2 x 5 x 5² x 4 x 5 = 2 x 2² x 54 = 2³ x 54 In terms of factors 5 and 10, we obtain: 10³ x 5.
Each term in the sequence is three times the previous term plus two, so the next term is 485.1 (3 x 1 + 2) 5 (3 x 5 + 2) 17 (3 x 17 + 2) 53 (3 x 53 = 2) 161 (3 x 161 + 2) 485
Starting with the number 4, applying the rule of multiplying by 2 and then subtracting 3 gives the following sequence: 4, 5, 7, 11, 19, 35. This pattern can be calculated as follows: 4 x 2 - 3 = 5, 5 x 2 - 3 = 7, 7 x 2 - 3 = 11, 11 x 2 - 3 = 19, 19 x 2 - 3 = 35.
-(x)/(16)=5Multiply each term in the equation by 16.-(x)/(16)*16=5*16Simplify the left-hand side of the equation by canceling the common terms.-x=5*16Multiply 5 by 16 to get 80.-x=80Multiply each term in the equation by -1.-x*-1=80*-1Multiply -x by -1 to get x.x=80*-1Multiply 80 by -1 to get -80.x=-80
18,23,28,33,... #1 is 18 #2 is 23 A difference of '5' Hence we can write '5n + x = 18 Where 'n' equals '1' Hence 5(1) + x = 18 5 + x = 18 Hence x = 18 - 5 = 13 So nth term is 5n + 13 NB Verification; does it work for the 4th term 5(4)+ 13 = 20 + 13 = 33 Which is true from above list.
5x 5 is the coefficient and x is the variable.