A Second Course in Algebra

Cover A Second Course in Algebra
A Second Course in Algebra
Webster Wells
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5. -\, - T \, i, .. -, to 9 terms.
6. A, a — 3 b, a — ()b, •••, to Mf terms.
7. 2 x + 5 y, x 4- 4 y, 3 ?/, • •-, to 13 terms.
ARITHMETIC PROGRESSION 165 2c—5dc — 4:dd — c ■ on ^, . ™ 8. , — - —, — — -, •••, to 20 terms.
3 bo 3 1 2 9- *-> TK~> —T-> "^ t0 19 terms ' 1 T P I0 - 7Vf> £R> o£> "''i t0 47 terms ' 2o 50 25 233. The j#rs£ term, common difference, number of terms, last term, and sum of the terms are called the elements of the progression.
If any three of the five elements of an arithmeti
...c progres- sion are given, the other two may be found by substituting the known values in the fundamental formulae (I) and (II), and solving the resulting equations.
i . Given a = — f, w = 20, S = — f ; find d and I. Substituting the given values in (II), - | = 10 (- | + I) or - i =- | +1 ; then, I = J - J = |.
Substituting the values of a, w, and I in (I), f =— J + 19

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