The sum of $24$ terms of the following series $2+4+6.....$
- $100$
- $200$
- $600$
- $250$
Reveal answer
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C
Correct answer
Explanation
This is an arithmetic progression where the first term a=2 and the common difference d=2. The sum of the first n terms is given by (n/2) * (2a + (n-1)d). For n=24, the sum is (24/2) * (2*2 + (24-1)*2) = 12 * (4 + 46) = 12 * 50 = 600.
AI explanation
This is an arithmetic progression with a first term of 2 and a common difference of 2. Using the formula for the sum of an arithmetic series, $S_n = n/2 \times [2a + (n-1)d]$, we calculate $S_{24} = 24/2 \times [2(2) + (24-1)2]$. This simplifies to $12 \times 50$, which equals 600. The result is 600.