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" The points ..... are used to show that some terms are left out of the expression, as it is impossible to express the whole until a particular value is given to n. "
An Introduction to Algebra: Upon the Inductive Method of Instruction - Σελίδα 229
των Warren Colburn - 1844 - 276 σελίδες
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1826 - 276 σελίδες
...impossible to express the whole until a particular value is given to n. Let I be the term required, then Hence, any term may be found by adding the product...Example. What is the 10th term of the series 3, 5, 7, 9, (fee. In this a = 3, r == 2, and n — 1=9. / = 3 + 9'cX2 = 21. In a decreasing series, r is negative....

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1828 - 276 σελίδες
...of the expression, as it is impossible to express the whole until a particular value is given to n. Hence, any term may be found by adding the product...series 3, 5, 7, 9, &c. In this a = 3, r = 2, and n — 1 =9. 1 = 3 + 9 X2 = 21. In a decreasing series, r is negative. .? Example. What is the 13th term...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1828 - 276 σελίδες
...given to n. Let I be the term required, then Hence, any term may be found by adding the product oFthe common difference by the number of terms less one,...What is the 10th term of the series 3, 5, 7, 9, &c, [n this a = 3, r = 2, and ,n — 1=9. / = 3+9 X2 = 21. [na decreasing series, r is negative. f Example....

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1828 - 276 σελίδες
...impossible to express the whole until a particular value is given to n. Let I be the term required, then Hence, any term may be found by adding the product...difference by the number of terms less one, to the first terra. Example. What is the 10th term of the series 3, 5, 7, 9, &c. In this a = 3, r = 2, and n —...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1829 - 276 σελίδες
...impossible to express the whole until a particular valuers given to n. Let I be the term required, then Hence, any term may be found by adding the product...5, 7, 9, &c. In this a = 3, r = 2, and n — 1=9. In a decreasing series, r is negative. Example. » What is the 13th term of the series 43, 45, 42,...

An Introduction to Algebra, with Notes and Observations: Designed for the ...

John Bonnycastle - 1829 - 312 σελίδες
...Or, the sum of any increasing arithmetical series may be found, without considering the last term, by adding the product of the common difference by the number of terms tess one to twice the first term, and then multiplying the result by half the number of terms. And,...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1830 - 276 σελίδες
...of the expression, as it is impossible to express the whole until a particular value is given to n. Hence, any term may be found by adding the product...5, 7, 9, &c. In this a = 3, r = 2, and n — 1=9. / = 3+9 X2 = 21. En a decreasing series, r is negative. Example. What is the 13th term of the series...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1830 - 276 σελίδες
...impossible to express the whole until a particular value is given to n. Let I be the term required, then • Hence, any term may be found by adding the product of the ffi common difference by the number of terms less one, to the first term. Example. f What is the 10th...

An Introduction to Algebra: Upon the Inductive Method of Instruction

Warren Colburn - 1833 - 276 σελίδες
...impossible to express the whole until"a particular value is given to n. Let / be the term required, then Hence, any term may be found by adding the product of the common difference by die number of terms less one, to the first term. Example. What is the 10th term of the series 3, 5,...

Elements of Algebra: Tr. from the French of M.Bourdon. Revised and Adapted ...

Charles Davies - 1835 - 353 σελίδες
...expression for this general term, is l=a+(n—l)r. That is, the last term is equal to the first term, plus the product of the common difference by the number of terms less one. If we suppose n successively equal to 1, 2, 3, 4, &c. we shall obtain the first, second, third, fourth,...




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