The summation formula of increasing series refers to the series in which the difference between each term and the previous term in exponential series is equal. For increasing arithmetic progression, arithmetic progression's summation formula can be used to calculate the summation, and the formula is S=(n/2)*(a+l), where s represents the summation of series, n represents the number of terms in series, a represents the first term and l represents the last term. Through this formula, the sum of increasing sequence can be calculated conveniently.
1, arithmetic progression:
Arithmetic progression is a sequence in which the difference between each term and the previous term is equal. For example, 1, 3, 5, 7, 9 is an arithmetic series with a tolerance of 2.
2. Sum formula:
For increasing arithmetic progression, arithmetic progression's summation formula can be used to calculate the summation. The formula is: S=(n/2)*(a+l), where s represents the sum of series, n represents the number of terms in series, a represents the first term, and l represents the last term.
3. Application example:
Suppose there is an increasing arithmetic progression, the first term is 2, the tolerance is 3, and the number of terms is 5. According to arithmetic progression's summation formula, the sum of this series can be calculated as: S = (5/2) * (2+2+3+4+5) = (5/2) * (16) = 40.
Brief introduction of formula
General format, expressed by mathematical symbols, the formula of a certain relationship between various quantities (such as laws or theorems) can be applied to the methods of similar things. In mathematics, physics, chemistry, biology and other natural sciences, mathematical symbols are used to express the relationship between several quantities. It is universal and applicable to all similar problems.
In mathematical logic, a formula is a formal grammatical object to express a proposition, but the proposition may depend on the free variable value of the formula. The exact definition of a formula depends on the specific formal logic involved, but there is a very typical definition for first-order logic: a formula is defined relative to a specific language.