mat ns ans
Explanation: Take a Look at this series : 2³ – 2² = 8 – 4 = 4 3³ – 3² = 27 – 9 = 18 4³ – 4² = 64 – 16 = 48 5³ – 5² = 125 – 25 = 100 6³ – 6² = 216 – 36 = 180 7³ – 7² = 343 – 49 = 294 8³ – 8² = 512 – 64 = 448 Divide into two series 1st series 3,5,7,9 2nd series 5,19,41,? They are formed by taking numbers alternately 2nd Position: 2 + 3 *1 = 5 4th Position: 4 + 5*3 = 19 6th Position: 6 + 7*5 = 41 8th Position : 8 + 9*7 = 71 1st, 3rd, 5th…. position are odd numbers increasing order. Answer is 71. Here 2nd number = (1st number x 1 )+1 3rd number = (2nd number x 2 +2) 4th number = (3rd number x 3 )+3 and so on.. Therefore, 5th number = (4th number x 4) +4 =57 x 4 + 4 =232. 7 × 1 + 1 = 8 8 × 2 + 2 = 18 18 × 3 + 3 = 57 57 × 4 + 4 = 232 232 × 5 + 5 = 1165 Take a Look at the below sereies 2 × 1 + ( 1 2 ) = 3 2 × 1 + 1 2 = 3 3 × 2 + ( 2 2 ) = 10 3 × 2 + 2 2 = 10 10 × 3 + ( 3 2 ) = 39 10 × 3 + 3 2 = 39 39 × 4 + ( 4 2 ) = 172 39 ...