The sum of the series (1/1 x 5 +1/5 x 9 + 1/9 x 13 ...+ 1/221 x 225) i

1.	The sum of the series (1/1 x 5 +1/5 x 9 + 1/9 x 13 ...+ 1/221 x 225) is (a) 28/221 (b) 56/221 (c) 56/225 (d) None of these
Answer» Correct option (c) 56/225 Explanation: Questions such as these have to be solved on the basis of a reading of the pattern of the question. The sum upto the first term is: 1/5. Upto the second term it is 2/9 and upto the third term it is 3/12. It can be easily seen that for the first term, second term and third term the numerators are 1, 2 and 3 respectively. Also, for 1/5 — the 5 is the second value in the denominator of 1/1 × 5 (the first term); for 2/9 also the same pattern is followed— as 9 comes out of the denominator of the second term of series and tar 3/13 the 13 comes out of the denominator of the third term of the series and so on. The given series has 56 terms and hence the correct answer would be 56/225.

The sum of the series (1/1 x 5 +1/5 x 9 + 1/9 x 13 ...+ 1/221 x 225) is (a) 28/221 (b) 56/221 (c) 56/225 (d) None of these

Answer»

Correct option (c) 56/225

Explanation:

Questions such as these have to be solved on the basis of a reading of the pattern of the question. The sum upto the first term is: 1/5. Upto the second term it is 2/9 and upto the third term it is 3/12. It can be easily seen that for the first term, second term and third term the numerators are 1, 2 and 3 respectively. Also, for 1/5 — the 5 is the second value in the denominator of 1/1 × 5 (the first term); for 2/9 also the same pattern is followed— as 9 comes out of the denominator of the second term of series and tar 3/13 the 13 comes out of the denominator of the third term of the series and so on. The given series has 56 terms and hence the correct answer would be 56/225.

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