Question: Just need help with D please(a.) Find the first five terms ofy1=1 and yn+1=3-1yn converges and find the limit.y1=1y2=2y3=52y4=135y5=3413L=3-1LL2-3L+1=0L=(3+-9-42)2L=3+-522The limitis3+522(b.)Is this sequence bounded above? Bounded
Just need help with D please(a.) Find the first five terms ofy1=1 and yn+1=3-1yn converges and find the limit.y1=1y2=2y3=52y4=135y5=3413L=3-1LL2-3L+1=0L=(3+-9-42)2L=3+-522The limitis3+522(b.)Is this sequence bounded above? Bounded below? Why or why not?The sequence starts at1 and is always positive. All terms are less than Lso its bounded below 1 and above the limitof3+522(c.) Prove that the sequence is monotone by showing that an+1an.an+1-an=3-1an-an=3-an-1anL+1L3soan+1an(d.) Use the Monotone Convergence Theorem to show that the sequence converges.
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