The fifth term of the sequence for which t1 = 1,  t2 = 2 and

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66.

A rational number between 3/4 and 3/8 is

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67.

The fifth term of the sequence for which t1 = 1,  t2 = 2 and tn+2 = tn + tn+1 is

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D.

8

Given,  t1 = 1,  t2 = 2
tn+2 = tn + tn+1  ...(i)
Put n = 1  in eq. (i),
t1+2 = t1 + t1+1
 t3 = 1 + 2 = 3    ...(ii)
Put n = 2 in eq. (i),
t2+2 = t2 + t2+1
t4 =   t2 + t3
t4 =   2 + 3 = 5 (using (ii))    ...(iii)
Put n = 3 in eq. (i),
t3+2 = t3 + t3+1
t5 = t3 + t4 = 3 + 5 = 8  (using (iii))
∴    t5 = 8

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68.

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