DISCRETE MATHS : (a) State whether the sequence (tn) defined recursively byt₁ = -1, in =t-+3, n22is an arithmetic or a geometric sequence, and then find a direct formula for then-th term. Use your formula to find t10.(b) Find a recursive definition of the sequence with direct formulain = n tr 121(c) Find a recursive definition of the sequence with direct formula3tnn21n!'(d) Write a MATLAB program which displays a list of the first 10 terms of thesequence in part (b).(e) Write a MATLAB program which computes the 20th partial sum of the se-quence in part (a).

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Answered: (a) State whether the sequence (tn)…

Advanced Engineering Mathematics

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Chapter2: Second-order Linear Odes

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(a) State whether the sequence (tn) defined recursively by t₁ = -1, in =l-t3, n22 is an arithmetic or a geometric sequence, and then find a direct formula for the n-th term. Use your formula to find t10.