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The sum of first n terms of the sequence 1,1+2,(1+2+2^(2)),....,(1+2+2^(2)+.....+2^(k)-1) , is of the form 2^ (n + R) + S n^ 2 + T n + U , t h e n The value of ( R + S + T + U ) is-

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Three Carnot engines operate in series between a heat source at a temperature T_1 = 600 K and heat sink at temperature T_4 = 100K (see figure). There are two other reservoirs at temperature T_2 " and " T_3 as shown, with T_1 gt T_2 gt T_3 gt T_4 The three engines are equally efficient if:

In each of the following questions, a sequence of groups of letters and number is given with one term missing as shown by (?). Choose the missing term out of the given alternatives. J2Z, K4X, 17V, ?, H16R, M22P 1) I11T 2) L11S 3) L12T 4) L11T 5) None of these