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SOLVED: The terms Lm and L'm for each natural number m are defined (Note that n and c are variables while m stands for number or its Church encoding). L'O = n, L'm = cmL'm-1 for m > 0, Lm = Ac.An.L'm for any m.a) What list is represented by the term Lm?b) Prove by induction on m that, and hence that L'm[timeslc, In]  *8 m! Lm times 1  *8 m!, where m! means the factorial of m.
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Given L = 0.20Y - 10i M = 200 C = 60 + 0.80Y T<sub>x</sub> = 100 I = 150 - 2i G = 100. a) Find the equation for IS and LM b) Find equilibrium output, the rate of interest, and investment. c) Find new equilibrium output, rate of interest and investment when government spending increase from 100 to120 d) Explain the changes/effects of economy when there is an increase government expenditure
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