Comprehension
The sum of first 3 terms of an arithmetic sequence is 30 and the sum of first 7 terms is 140.
Question: 1

What is the second term of this sequence ?

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For an odd number of terms in an AP, the sum is always the number of terms multiplied by the middle term. Recognizing this property (S₃ = 3 × a₂) provides an immediate solution and is much faster than solving simultaneous equations.
Updated On: Mar 16, 2026
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Question: 2

What is the fourth term of this sequence ?

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The middle term property is extremely useful. The sum of the first 2k-1 terms is always (2k-1) times the k-th term (S₂k-₁ = (2k-1)ak). Applying this to S₇ (where k=4) gives S₇ = 7 × a₄ directly.
Updated On: Mar 16, 2026
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