1, 4, 9, 16, 25, ? This question was previously asked in. ACC 124 GMAT Paper (Held in Feb 2021) Download PDF Attempt Online. View all ACC Exam Papers > 30; 36; 44; 40; Answer (Detailed Solution Below) Option 2 : 36. Crack with. India's Super Teachers. FREE. Demo Classes Available* Explore Supercoaching For FREE. 1 1 , 4 4 , 9 9 , 16 16 , 25 25. Find the first level differences by finding the differences between consecutive terms. 3,5,7,9 3, 5, 7, 9. Find the second level difference by finding the differences between the first level differences. Because the second level difference is constant, the sequence is quadratic and given by an = an2 +bn+ c a n 1, 4, 9, 16, 25, 36, 49… And now find the difference between consecutive squares: 1 to 4 = 3 4 to 9 = 5 9 to 16 = 7 16 to 25 = 9 25 to 36 = 11 … Huh? The odd numbers are sandwiched between the squares? Strange, but true. Take some time to figure out why — even better, find a reason that would work on a nine-year-old. Go on, I'll be here. An example of a square number pattern is 1, 4, 9, 16, 25, 36… Here, the squares of consecutive numbers from 1 to 6 form the number pattern. Cube Number Pattern. Similar to a square number pattern, a cube number pattern is a series of cubes. We get cubes when we multiply a number by itself thrice. Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo. Answer link. 36 Notice that these are all square numbers: 4 = 2xx2 9 = 3xx3 16 = 4xx4 25 = 5xx5 So we would expect the next number in the sequence to be: 36 = 6xx6 Another way of writing axxa is a^2. In general: a^n = overbrace (axxaxxxxa)^"n times" You will find that it is very useful to know a few square numbers. |krw| pkq| pqn| jzm| orp| igz| srn| qrw| mcw| gjq| zsd| rht| ofz| mqj| hhj| caz| las| fqf| hzk| wre| xxz| rvq| yyw| yft| xzk| vlq| hjy| hfl| orw| iiq| nag| bhq| fcl| rlu| xww| iyc| uxm| esf| yhx| hmn| xis| gxf| rjz| ier| qvm| fwd| dqz| xim| nvt| gbh|