...term except the last, and x is found in every term except the first The exponent of a in the first term is the same as the exponent of the power to which the binomial is raised, and it diminishes by one in each succeeding term. The exponent of x in the second term is 1, and it...

...term except the last, and x is found in every term except the first. The exponent of a in the first term is the same as the exponent of the power to which the binomial is raised, and it diminishes by one in each succeeding term. The exponent ofx in the second term is 1, and it...

...term except the last, and x is f mnd in every term except the iir.>t. The exponent of a in the first term is the same as the exponent of the power to which the binomial is raised, and it diminishes by one in each succeed ng term. Tho exponent of x in the second term is 1, and it...

...i)5.. . a5+ 4. (ai)7 , . a7-a . Of the Coefficients. 89. The coefficient of the first term is unity. The coefficient of the second term is the same as the exponent of the given power. The coefficient of the third term is found by multiplying the coefficient of the second...

...(a+b)5 . . 4. (a-6)7 . . o'—a Of the Coefficients. 89. The coefficient of the first term is unity The coefficient of the second term is the same as the exponent of the given power. The coefficient of the third term is found by multiplying the coefficient of the second...

...term except the last, and x is found in every term except the first. The exponent of a in the first term is the same as the exponent of the power to which the binomial is raised, and it diminishes by one in each succeeding term. The exponent of x in the second term is 1, and it...

...(a+b)° . . a° 4. (a-4)7 . . aT Of the Coefficients. 89. The coefficient of the first term is unity. The coefficient of the second term is the same as the exponent of the giver, power. The coefficient of the third term is found by multiplying the coefficient of the second...

...the last term is zero, and that of x is the exponent of the required power; (4.) that the numerical coefficient of the second term is the same as the exponent of the required power ; and (5.) that the numerical coefficients at equal distances from the two extremities...

...addition of 1, continually, in the succeeding terms. X 3. The Coefficient of the first term is 1 ; that of the second term is the same as the exponent of the Binomial • — and the coefficient of the second, or of any term, X the exponent of a in that term,...

...a65+a552— a453+a354— aW+atf-b'1. Of the Coefficients. 126. The coefficient of the first term is 1. The coefficient of the second term is the same as the exponent of the given power. The coefficient of the third term is found by multiplying the coefficient of the second...