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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. "
A Treatise of Algebra in Two Books: The First Treating of the Arithmetical ... - Σελίδα 97
των Philip Ronayne - 1717 - 408 σελίδες
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Clavis Arithmeticae: Or, A Key to Arithmetick in Numbers & Species ;wherein ...

John Parsons - 1705 - 284 σελίδες
...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...

The Teachers Assistant. Or, A System of Practical Arithmetic: Wherein the ...

1811 - 210 σελίδες
...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...

The Teachers' Assistant, Or, A System of Practical Arithmetic: Wherein the ...

1817 - 214 σελίδες
...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...

The Teachers' Assistant: Or a System of Practical Arithmetic

Stephen Pike - 1824 - 212 σελίδες
...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...

The Improved Arithmetic: Newly Arranged and Clearly Illustrated, Both ...

Daniel Parker - 1828 - 358 σελίδες
...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."...

Connolly's Arithmetic: Or, The Ohio Accomptant: Being a Plain Practical ...

James L. Connolly (mathematician.) - 1829 - 266 σελίδες
...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...

Conkling's Arithmetic: The Young Arithmetician's Guide to a Knowledge of ...

Thomas Conkling (W.) - 1831 - 302 σελίδες
...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,...

The Teachers' Assistant: Or a System of Practical Arithmetic

Stephen Pike - 1835 - 210 σελίδες
...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...

The Western Arithmetic: Or, Pennsylvania and Ohio Accomptant: Being a Plain ...

James L. Connolly (mathematician.) - 1835 - 264 σελίδες
...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...

System of Practical Arithmetic

1845 - 210 σελίδες
...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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