Sum of some special series

Math Formulas

Sum of some special series

Definition :-Special series are the series which are special in some way. It could be arithmetic or geometric.

Some of the special series are:
(i) 1 + 2 + 3 +… + n (sum of first n natural numbers)Sum of some special series Sum of some special series

Formula description :-Sum of some special series Sum of some special series Sum of some special series

Example 1 :- Find the sum to n terms of the series whose nth term is n (n+3).

Solution :-Given thatSum of some special series

Thus, the sum to n terms is given bySum of some special series

Example 2 :-find the sum to n terms of the series 3 + 7 + 13 + 21 + 31 +

Solution :-Sum of some special series

By subtracting the two equations , we getSum of some special series Sum of some special series Sum of some special series Sum of some special series Sum of some special series Sum of some special series Sum of some special series Sum of some special series Sum of some special series Sum of some special series Sum of some special series

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