 | John Parsons - 1705 - 284 pages
...equidiftant from the Extremes (fiirt is, when one term is as far difLuit from a as the oiher is from «) and confequently if the Number of terms be odd, the Double of the middle term will be equal to the Sum of the Extremes treines becanfe it is equldiftant from the Extremes, as if... | |
 | 1811 - 210 pages
...them; as m the latter of the above series 6 + 1 =» 4 + 3, and = 5 + 2. • When the number of terms is odd, the double of the middle term is equal to the sum of the two exremes,yar any two terms equally distant from the middle term ; as An the former of the foregoing... | |
 | 1817 - 214 pages
...from them ; as in the latter of the above series 6-fl=4-f-3, and=5-{-2. Whei. the number of terms is odd, the double of the middle term is equal to the sum of the two extremes, or any two terms equally distant from the middle term ; as in the former of the foregoing... | |
 | Stephen Pike - 1824 - 212 pages
...distant from them; as in the latter of the above series 6 + 1=4+3, and =5+2. When the number of terms is odd, the double of the middle term is equal to the sum of the two extremes, or any two terms equally distant from the middle term; as in the former of the foregoing... | |
 | Daniel Parker - 1828 - 358 pages
...4-6=12 : the «ame is true both of the ascending and descending series. When the number of terms is odd, the double of the middle term is equal to the sum of the two extremes, of to that of any two terms equally distant from the middle term, as above, " 6+ 6=12."... | |
 | James L. Connolly (mathematician.) - 1829 - 266 pages
...terms, equally distant from them; as 2, 4, 6, 8, 10, the two extremes beinj* 2+10=12,804+8=12; but if the number of terms be odd, the double of the middle term will be equal to any two terms, equally distant therefrom, as 1, 3, 5,7,9, 11, IS. The double of the... | |
 | Thomas Conkling (W.) - 1831 - 302 pages
...then}; as in the series above, 2 +• 10, is equal to 4 +• 8, &c. : ' When the number of terms is odd, the double of the middle term is equal to the sum of the two extremes, or any two terms equally distant from the middle term, as in the series before mentioned,... | |
 | Stephen Pike - 1835 - 210 pages
...distant from them; as in he latter of the abov« series 6 + 1=4+3, and =5+2. When the number of terms is odd, the double of the middle term is equal to the sum of the two extremes, r any two terms equally distant from the middle term; s in the former of the foregoing... | |
 | James L. Connolly (mathematician.) - 1835 - 264 pages
...terms, equally distant from them ; as 2, 4, 6, 8, 10, the two extremes being 2+ 10=12, so 4+8=12; but if the number of terms be odd, the double of the middle term will be equal to any two terms, equally distant therefrom, as 1, S, 5, 7, 9, 11, 13. The double of... | |
 | 1845 - 210 pages
...from them ; as in the latter of the above series 6 + 1=4 + 3, and =5+2. When tha number of terms is odd, the double of the middle term is equal to the sum of the two extremes, or any two terms equally distant from the middle term ; as in the former of the foregoing... | |
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Note. — 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. 