Arithmetic sequence and series ?

An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. For example, 2, 5, 8, 11, 14 is an arithmetic sequence with a common difference of 3.

An arithmetic series is the sum of the terms in an arithmetic sequence. The formula to find the sum of the first n terms of an arithmetic series is:

Sn = n/2 * (2a + (n-1)d)

where:
- Sn is the sum of the first n terms
- n is the number of terms
- a is the first term
- d is the common difference

For example, if we have an arithmetic sequence with a first term of 2, a common difference of 3, and we want to find the sum of the first 5 terms, we can use the formula:

S5 = 5/2 * (2(2) + (5-1)3)
S5 = 5/2 * (4 + 12)
S5 = 5/2 * 16
S5 = 40

So, the sum of the first 5 terms of the arithmetic sequence 2, 5, 8, 11, 14 is 40.

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