Progression, the sum of the two extremes will equal the sum of any two means equally distant from the extremes ; as 2, 4, 6, 8, 10, 12, The two extremes, 2 + 12 = 6 + 8, the two means. The Schoolmaster's Assistant: Being a Compendium of Arithmetic, Both ... - Σελίδα 103των Thomas Dilworth - 1825 - 194 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
| Charles Vyse - 1785 - 350 σελίδες
...Numbers in Arithmetical Progreilion, when the Number of Terms are even, as 1,3,5,7,9,11, or the like, the Sum of the two Extremes will be equal to the Sum of any two Means that are equally diflant from the Extremes ; Vi2. 1,3,5,7,9,11. 2. When the Number of Terms are odd,... | |
| Charles Vyse - 1806 - 342 σελίδες
...Arithmetical Progression, when the Number of Terms are even, as 1,3, 5, 7, 9, 11, or the like, the Sum of the two Extremes will be equal to the Sum of any two Means that are equally distant from the Extremes : Viz. 1, 3, 5, 7, 9, 11. 1+11=5+7=3 + 9=12. S: When the... | |
| James Thompson - 1808 - 176 σελίδες
...i, . the sum of all the terms. Jfotf — In any series of numbers in Arithmetical Progre«gion, the sum of the two extremes will be equal to the sum of anv two terms equally distant therefrom ¡ as 2, 4, 6, 8, 10, 12 ¡ -where 2+12=14; so 4+10=14; or... | |
| John Bonnycastle - 1813 - 456 σελίδες
...are contained in the following theorems : 1. If four quantities are in arithmetical proportion, the sum of the two extremes will be equal to the sum of the two means. Thus, if the proportionals be 2, 5, 7? 1°? °r и, b, c, d; then will 2 + 10=5 + 7,... | |
| Daniel Staniford - 1818 - 332 σελίδες
...extremes ; thus, 5 . 8 . 11 . 14 . 17 .20 ; 5+20=25=8+17=25=11+14=25. 4. If the numbers are odd, the sum of the two extremes will be equal to the sum of any two means equally distant from them, and all be equal to double the odd mean or middle number ; thus, 3.7. 1-1 . 15 . 19 .-23.27;... | |
| John Bonnycastle - 1818 - 326 σελίδες
...are contained in the following theorems : 1. If four quantities are in arithmetical proportion, the sum of the two extremes will be equal to the sum of the two means. Thus, if, the proportionals be 2, 6, 7, 10, or a, b, c, d ; then will 2+M=6+7, and a+d=b+c.... | |
| Beriah Stevens - 1822 - 436 σελίδες
...any even number of terms, the sum of the extremes is equal to the sum of the two cciddle terms, or to the sum of any two means equally distant from the extremes. Thus, in the series 3, 5, 7, 9, 11, 13, the sum of 3+13=7+9, or =5+11. The reason is plain : for if... | |
| Thomas Keith - 1822 - 354 σελίδες
...progression, then will 5+9=7x2, and 9x5+2x2=7x7. 2. If /OUT numbers be in arithmetical progression, the sum of the two extremes will be equal to the sum of the means. Thus, if •-'. 5. 8. 11. be in arithmetical progression, Then will 2+11=5+8. 3. If a series... | |
| Zachariah Jess - 1824 - 224 σελίδες
...; Fifthly, The sum of all the terms. Note. In any series of numbers in arithmetical progression the sum of the two extremes will be equal to the sum of any two terms equally distant therefrom : as," 2, 4, 6, 8, 10, 12; tt,'/(cre2+12 = l4; so 4 + 10= !4; and 6+8=14;... | |
| John Bonnycastle - 1825 - 336 σελίδες
...are contained in the following theorems : 1. If four quantities are in arithmetical proportion, the sum of the two extremes will be equal to the sum of the two means. Thus if the proportionals be 2, 5, 7, 10, or a, b, c, d • then will 2-f 10=5+7, and... | |
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