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What is the sum of the first 15 terms of an arithmetic progression where the fir
What is the sum of the first 15 terms of an arithmetic progression where the first term is 2 and the common difference is 4?
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What is the sum of the first 15 terms of an arithmetic progression where the first term is 2 and the common difference is 4?
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The sum of the first n terms S_n = n/2 * (2a + (n-1)d). Here, S_15 = 15/2 * (2*2 + 14*4) = 15/2 * (4 + 56) = 15/2 * 60 = 450.
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Q: What is the sum of the first 15 terms of an arithmetic progression where the first term is 2 and the common difference is 4?
Solution:
The sum of the first n terms S_n = n/2 * (2a + (n-1)d). Here, S_15 = 15/2 * (2*2 + 14*4) = 15/2 * (4 + 56) = 15/2 * 60 = 450.
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