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 Click here 👆 to get an answer to your question ️ in an Ap sn= 3n 5 then the value of d is princemahesh6871 princemahesh6871 Math Secondary School answered In an Ap sn= 3n 5 then the value of d is 2 See answers Advertisement

Sn=3n+5 find the value of d- S 1 = 2(1) 2 5(1) ⇒ S 1 = 2 5 ⇒ S 1 = 7 ⇒ a 1 = 7 Taking n = 2, we get S 2 = 2(2) 2 5(2) ⇒ S 2 = 8 10 ⇒ S 2 = 18 ∴ a 2 = S 2 – S 1 = 18 – 7 = 11 Taking n = 3, we get S 3 = 2(3) 2 5(3) ⇒ S 3 = 18 15 ⇒ S 3 = 33 ∴ a 3 = S 3 – S 2 = 33 – 18 = 15 So, a = 7, d = a 2 – a 1 = 11 – 7 = 4 Now, we have to find the 15 th term a n = a (n – 1)dS n = 3 n 2 5 n ∴ S 1 = a = 3 5 = 8 and S 2 = a 1 a 2 = 3 × 2 2 5 × 2 = 2 2 ⇒ a a d = 2 2 ⇒ 2 a d = 2 2 ⇒ d = 2 2 − 2 a = 2 2 − 1 6 = 6 Now a k = 1 6 4 ⇒ a (k − 1) d = 1 6 4 ⇒ 8 (k − 1) 6 = 1 6 4 ⇒ (k − 1) 6 = 1 5 6 ⇒ k − 1 = 2 6 ⇒ k = 2 7

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