If the sum of first n terms of an AP is given by Sn = 4n^2 + 6, then its first term will be _________(a) 4(b) 3(c) 5(d) 1The question was posed to me in a national level competition.My query is from Sum of N Terms of Arithmetic Progression topic in division Arithmetic Progressions of Mathematics – Class 10

If the sum of first n terms of an AP is given by Sn = 4n^2 + 6, then i

1.	If the sum of first n terms of an AP is given by Sn = 4n^2 + 6, then its first term will be _________(a) 4(b) 3(c) 5(d) 1The question was posed to me in a national level competition.My query is from Sum of N Terms of Arithmetic Progression topic in division Arithmetic Progressions of Mathematics – Class 10
Answer» Correct choice is (a) 4 The explanation: The sum of first n terms of an AP is given by Sn = 4n^2 + 6. Substituting n by n – 1 in the given equation Sn – 1 = 4(n – 1)^2 + 6 Sn – 1 = 4n^2 – 8N + 4 + 6 Sn – 1 = 4n^2 – 8n + 10 ∴ Tn = Sn – Sn – 1 Tn = 4n^2 + 6 – (4n^2 – 8n + 10) Tn = 8n – 4 The first term will be T1 = 8(1) – 4 = 4

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