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Let a1 = 3 and an+1 = a + 5 2an for all n > 1 Prove that (an)nen converges and find limn7oo an:

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9=3 A2 - g= 오르 [Ant-a) = + 59 2. antican Solution: an 5 4 24n 2 14 3 5 + 291 2 6 6 5 5X3 7 + 242 6 2Xㅋ 리 C an 5 -an 2. 24m 92So, let lim an = L = lim anti n00 HA00 녀늘 5 ㅋ 252 222 오른 5 L-15 Ane L#-85 because an totn

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