An arithmetic gradient series : a) starts at zero at the end of the first period and then increases by a constant amount each period. b) starts at zero at the beginning of the first period and then increases by a constant amount each period. c) starts at zero at the beginning of the second period and then increases by a constant amount each period. d) starts at zero at the end of the first period and then increases by an increasing amount each period. e) starts at zero at the end of the second period and then increases by a constant amount each period.

Question

Mathematics

Alison English

1 April, 05:45

An arithmetic gradient series : a) starts at zero at the end of the first period and then increases by a constant amount each period. b) starts at zero at the beginning of the first period and then increases by a constant amount each period. c) starts at zero at the beginning of the second period and then increases by a constant amount each period. d) starts at zero at the end of the first period and then increases by an increasing amount each period. e) starts at zero at the end of the second period and then increases by a constant amount each period.

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Tough Guy · Answer 1

b) starts at zero at the beginning of the first period and then increases by a constant amount each period.

Step-by-step explanation:

A series is called arithmetic gradient series if it increases or decreases periodically by a constant amount.

Examples are

0,.100,200,300, 400 ...

Decreasing series would be

1000, 800, 600., 400 ...

Thus the difference between the consecutive terms is a constant.

Hence here out of four definitions we find that

b) starts at zero at the beginning of the first period and then increases by a constant amount each period.