Which of the following numbers will replace the question mark (?) in the given series: 124, 129, 136, 145, 156, ?

Explanation

Given series: 124,129,136,145,156,?124, 129, 136, 145, 156, ?124,129,136,145,156,? Step 1: Calculate the Differences 129−124=5129 - 124 = 5129−124=5 136−129=7136 - 129 = 7136−129=7 145−136=9145 - 136 = 9145−136=9 156−145=11156 - 145 = 11156−145=11 The differences are: 5,7,9,115, 7, 9, 115,7,9,11. Step 2: Identify the Pattern The differences between the numbers increase by 2 each time (5, 7, 9, 11). Therefore, the next difference should be 11+2=1311 + 2 = 1311+2=13. Step 3: Calculate the Next Term Add 13 to the last term in the series (156): 156+13=169156 + 13 = 169156+13=169 Answer: The number that will replace the question mark is 169.