#K85837. Arithmetic Sequence Summation
Arithmetic Sequence Summation
Arithmetic Sequence Summation
In this problem, you are given an arithmetic sequence that starts with an integer X and each successive term increases by 2. Your task is to compute the sum of the first N terms of this sequence.
The sequence is defined as follows:
\[ a_0 = X, \quad a_i = a_{i-1} + 2 \quad \text{for } i \geq 1 \]The sum for the first N terms can be derived using the formula:
\[ S = N \times (X + N - 1) \]For example, if N = 5 and X = 1, then:
\[ S = 5 \times (1 + 5 - 1) = 5 \times 5 = 25 \]Solve this problem for multiple test cases provided in the input.
inputFormat
The first line contains an integer T, representing the number of test cases. Each of the following T lines contains two space-separated integers N and X where:
- N is the number of terms in the sequence.
- X is the starting number of the sequence.
outputFormat
For each test case, output a single line with the sum of the first N terms of the sequence.
## sample3
5 1
3 10
4 7
25
36
40
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