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Insert the missing number in the series.1, 3, 6, 10, 15, …, 28, 36, 45 : (a) 17 (b) 19 (c) 21 (d) 22 |
Answer» <p style="text-align: justify;"><span style="color:#000000"><span style="font-family:Arial,Helvetica,sans-serif"><strong>Correct option (c) 21</strong></span></span></p><p style="text-align: justify;"><span style="color:#000000"><span style="font-family:Arial,Helvetica,sans-serif"><strong>Explanation:</strong></span></span></p><p style="text-align: justify;"><span style="color:#000000"><span style="font-family:Arial,Helvetica,sans-serif">The differences of each successive and previous numbers has the sequential increase of one as :3 − 1 = 2, 6 − 3 = 3, 10 − 6 = 4, 15 − 10 = 5, 21 − 6 = 15, 28 − 7 = 21, 36 − 8 = 28, 45 − 9 = 36, (i.e. 2, 3, 4, 5, 6, 7, 8 and 9). </span></span></p><p style="text-align: justify;"><span style="color:#000000"><span style="font-family:Arial,Helvetica,sans-serif">Therefore, the missing number is 21.</span></span></p> | |