Higher Arithmetic Or the Science And Application of Numbers Combining the An
Higher Arithmetic Or the Science And Application of Numbers Combining the An
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Note. If the first term and ratio are the same, the progression is simply a series of powers; as '2; 2x2; 2x2x2; 2x2X2X2, &c.
OBS. 1. Geometrical Progression is geometrical proportion continued. It is therefore sometimes called continual proportionals, or progression by quotients.
If the series increases it is called ascending; if it decreases, descending.
2. The numbers which form the series, are called the terms of the progres- sion. The common multiplier, or dirisor, is called the ral. Io. F...or most pur- poses, however, it will . Be more simple to consider the ratio as always a multi- plier, either integral or fractional. Thus, in the series 64, 32, 16, &c. , the ratio is either 2 considered as a divisor, or J considered as a multiplier.
3. In Geometrical as well as in Arithmetical progression, there are five parts to be considered, viz: the first term, the last term, the number of terms, the ratio, and the sum of alt the terms. These parts have such a relation to each other, that if any three of them are given, the other two may be easily found.
What to read after Higher Arithmetic Or the Science And Application of Numbers Combining the An?
You can find similar books in the "Read Also" column, or choose other free books by James B James Bates Thomson to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Note. If the first term and ratio are the same, the progression is simply a series of powers; as '2; 2x2; 2x2x2; 2x2X2X2, &c.
OBS. 1. Geometrical Progression is geometrical proportion continued. It is therefore sometimes called continual proportionals, or progression by quotients.
If the series increases it is called ascending; if it decreases, descending.
2. The numbers which form the series, are called the terms of the progres- sion. The common multiplier, or dirisor, is called the ral. Io. F...or most pur- poses, however, it will . Be more simple to consider the ratio as always a multi- plier, either integral or fractional. Thus, in the series 64, 32, 16, &c. , the ratio is either 2 considered as a divisor, or J considered as a multiplier.
3. In Geometrical as well as in Arithmetical progression, there are five parts to be considered, viz: the first term, the last term, the number of terms, the ratio, and the sum of alt the terms. These parts have such a relation to each other, that if any three of them are given, the other two may be easily found.
What to read after Higher Arithmetic Or the Science And Application of Numbers Combining the An?
You can find similar books in the "Read Also" column, or choose other free books by James B James Bates Thomson to read onlineMoreLess
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