The Elements of Algebra
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In our eReader you can find the full English version of the book. Read The Elements of Algebra Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book The Elements of Algebra
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The arithmetical mean between two numbers is — 9, and the mean between four times the first and twelve times the second is — 66. Find the numbers.
GEOMETRICAL PROGRESSION.
157. The expressions 3, 9, 27, 81, .... , ami 1, -J, i, -^, .... , are called geometrical progressions or series. The general form for such a series is, a, ar, ar^, ai*, ar^, ar^, at*, ar^, .....
In which a is the first term, and r a constant factor or ratio. Hence, A Geometrical Progression is a series in which the adja- cen...t terms increase or decrease by a constant factor.
The Common Ratio is the factor by which each term is multiplied to form the next one.
380 ELEME^^TS OF ALGEBRA.
In every geometrical series the following elements occur; any three of which being given, the other two may be found.
The first term, or a. The last term, or I. The common ratio, or r. The number of terms, or n. The sum of the terms, or s.
By an examination of the general form it is seen that the expo- nent of r is always 1 less than the number of the term.
What to read after The Elements of Algebra?
You can find similar books in the "Read Also" column, or choose other free books by George Lilley to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
The arithmetical mean between two numbers is — 9, and the mean between four times the first and twelve times the second is — 66. Find the numbers.
GEOMETRICAL PROGRESSION.
157. The expressions 3, 9, 27, 81, .... , ami 1, -J, i, -^, .... , are called geometrical progressions or series. The general form for such a series is, a, ar, ar^, ai*, ar^, ar^, at*, ar^, .....
In which a is the first term, and r a constant factor or ratio. Hence, A Geometrical Progression is a series in which the adja- cen...t terms increase or decrease by a constant factor.
The Common Ratio is the factor by which each term is multiplied to form the next one.
380 ELEME^^TS OF ALGEBRA.
In every geometrical series the following elements occur; any three of which being given, the other two may be found.
The first term, or a. The last term, or I. The common ratio, or r. The number of terms, or n. The sum of the terms, or s.
By an examination of the general form it is seen that the expo- nent of r is always 1 less than the number of the term.
What to read after The Elements of Algebra?
You can find similar books in the "Read Also" column, or choose other free books by George Lilley to read onlineMoreLess
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