using arithmetic sequences and recursive/explicit formula, how would i get the answer when asked to "find the sum of the first 12 terms of the given series?" - 40+29+18+7+...
The nth tem of an arithmetic series is given by :
an = a1 + d(n - 1) where an is the term we're looking for, a1 is the first term of the series, d is the common difference between successive terms, and n is the number of terms of interest....so .....
The 12th term is given by :
a12 = 40 -11(12-1) = 40 - 11(11) = 40 - 121 = -81
The nth tem of an arithmetic series is given by :
an = a1 + d(n - 1) where an is the term we're looking for, a1 is the first term of the series, d is the common difference between successive terms, and n is the number of terms of interest....so .....
The 12th term is given by :
a12 = 40 -11(12-1) = 40 - 11(11) = 40 - 121 = -81