 | Edward Hatton - Algebra - 1721 - 528 pages
...to 24 gives 27, the next Term higher; or fubfrom 21 gives 18, the next Term lower. La *- 9 6. If any four Numbers are in Arithmetical Proportion, whether continued or interrupted, the Sum of the two middle Numbers are eq u~u to the Sum of the two Extremes. Thus - ,, •. ' ~-,:\rr'- , ^ , Jn tiie... | |
 | Edward Hatton - Algebra - 1731 - 510 pages
...27, the next Term higher i or fubftraded from 21 gives 18, the next Term lower. L 2 6. If 6. If any four Numbers are in Arithmetical Proportion, whether continued or interrupted, the Sum of the two middle Numbers are cqual to the Sum of the two Extremes. Thus, In the firft Line 7, 8, 9, 10 ; 7 and... | |
 | Charles Hutton - Mathematics - 1811 - 406 pages
...arithmeticals a, a + d, b, b + d, the sum a + b-}-d = a + b+tf. 2. In any continued. arithmetical progression, the sum of the two extremes is equal to the sum of any two terms at an equal distance from them. Thus, Thus, if the series be 1, 3, 5, 7, 9, II, &c. Then... | |
 | Arithmetic - 1811 - 210 pages
...last terms are called the extremes. Note. — In any series of numbers in arithmetical progression, the sum of the two extremes is equal to the sum of any two teni.b equally distant from them; as m the latter of the above series 6 + 1 =» 4 + 3, and... | |
 | Jeremiah Joyce - Arithmetic - 1812 - 274 pages
...term ; as 6, 9, 12, where 6 + 12 = 2 X «f = 18. 2. If four numbers be in arithmetical progression, the sum of the two extremes is equal to the sum of the means; as 5, 8, 11, 14, where 5 + 14 = 8 + 11 = 19. 3. When the number of terms is odd, the double... | |
 | Charles Hutton - Mathematics - 1812 - 620 pages
...arithmeticals a, a + d, b, b +d, the sum a + 6 + d = a + 6+d. 2. In any continued arithmetical progression, the sum of the two extremes is equal to the sum of any two terms at an g qual distance from them, Thus, Thus, if the series be 1, 3, 5, 7, 9, 1 1, &c.... | |
 | John Bonnycastle - Algebra - 1813 - 444 pages
...each of the two members, we shall have a + d=b+c. From which it appears, as in the common rule, that the sum of the two extremes is equal to the sum of the two means. And if the third term, in this case, be the same as the second, or c = b, the equi-diflerence... | |
 | John Bonnycastle - Algebra - 1813 - 456 pages
...' number (n). of arithmetical means between a and b. 4. In any continued arithmetical progression, the sum of the two extremes is equal to the sum of any two terms that are equally distant from them, or to double the middle term, when the numher of... | |
 | Arithmetic - 1817 - 214 pages
...last terms are called the extremes. JVote. — In any series of numbers in arithmetical progression, the sum of the two extremes is equal to the sum of any two terms equally distant from them ; as in the latter of the above series 6-fl=4-f-3, and=5-{-2.... | |
 | John Bonnycastle - Algebra - 1818 - 284 pages
...=5i. 2 2 And an arithmetical mean between a and b is . 4. In any continued arithmetical progression, the sum of the two extremes is equal to the sum of any two terms that are equally distant from them, or to double the middie term, when the number of... | |
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In any series of numbers in arithmetical progression, the sum of the two extremes is equal to the sum of any two terms equally distant from them; as in the latter of the above series 6 + 1=4+3, and =5+2. 
