1.

Which term if the ap 3,15,27.... will be 132 more than its 54th term?

Answer»
a_{54} + 132 = a_{n} \\ (a + 53d) + 132 = (a + (n - 1)d) \\ a + (53 \times 12 )+ 132 = a + 12n - 12 \\ 636 + 132 + 12= 12n \\ \frac{780}{12} = n \\ (n = 65)


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