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Sum of the First n Terms of an Arithmetic Sequence Calculator

A. Geometric Sequence Calculator
B. Infinite Series Sum Calculator
C. Arithmetic Progression Calculator
D. Sequence Convergence Calculator

User Tamal
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1 Answer

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Final answer:

The correct answer is option C, Arithmetic Progression Calculator. An arithmetic sequence is a sequence of numbers with a constant difference between consecutive terms. The sum of the first n terms of an arithmetic sequence can be calculated using the formula Sn = (n/2)(2a + (n-1)d).

Step-by-step explanation:

The correct answer to the given question is option C, Arithmetic Progression Calculator.

An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. To find the sum of the first n terms of an arithmetic sequence, you can use the formula: Sn = (n/2)(2a + (n-1)d), where Sn is the sum of the first n terms, a is the first term, and d is the common difference. Plug in the values of n, a, and d into the formula to calculate the sum.

For example, if you have an arithmetic sequence with a first term of 3 and a common difference of 2, and you want to find the sum of the first 5 terms, you can use the formula: Sn = (5/2)(2(3) + (5-1)(2)) = (5/2)(6 + 4(2)) = (5/2)(14) = 35.

User Stefan Mohr
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