I.Find the wrong number in the following series.
1. 40 326 2946 29418 323607
1.326
2.40
3.2946
4.323607
5.29418
2. 560 1089 1725 2443 3284 4245
1.2443
2.1725
3.4245
4.3284
5.560
3. 3252 3080 2958 2876 2826
1.3080
2.2876
3.2826
4.3252
5.2958
4. 2442 1222 614 312 163 90 55.75
1.1222
2.312
3.90
4.614
5.163
5. 1250 1322 1452 1674 2024 2544
1.1322
2.1674
3.2544
4.2024
5.1250
II. Find the missing number in the given series.
6. 1953.125 781.25 312.5 ? 20
1.48
2.49
3.50
4.51
5.52
7. 81 87 162 504 1992 9990 ?
1.59903
2.59906
3.56895
4.59904
5.59861
8. 49 72 118 ? 394 762 1498
1.234
2.239
3.210
4.219
5.243
9. 142 143 156 193 272 417 ?
1.653
2.658
3.659
4.657
5.656
10. 118 122 158 206 356 536 ?
1.956
2.953
3.928
4.965
5.963
7. 81 87 162 504 1992 9990 ?
1.59903
2.59906
3.56895
4.59904
5.59861
8. 49 72 118 ? 394 762 1498
1.234
2.239
3.210
4.219
5.243
9. 142 143 156 193 272 417 ?
1.653
2.658
3.659
4.657
5.656
10. 118 122 158 206 356 536 ?
1.956
2.953
3.928
4.965
5.963
Solutions:
1.2946
40*8+6=326
326*9+7=294
2946*10+8=29418
29418*11+9=323607
2.1725
the difference between numbers is +23^2 ,+25^2 , +27^2 , +29^2 .......
3.3252
the difference between numbers is -(13^2+1), -(11^2+1), -(9^2+1) , -(7^2+1), -(5^2+1)
4. 90
2442/2 + 1 = 1222
1222/2 + 3= 614
614/2 + 5 = 312
312/2 + 7 =163
163/2 + 9 = 89.5
89.5/2 + 11 = 55.75
5. 1250
,
the difference between numbers is +(3^3+3) , +(4^3+4) , +(5^3+5), +(6^3+6) , +(7^3+7),
+(8^3+8)
6.50
1953.125/2.5=781.25
781.25/2.5=312.5
312.5/2.5=125
125/2.5=50
50/2.5=20
7.59904
the difference between numbers is *1+6 , *2-12, *3+18 , *4-24 ,*5+30 , *6-36
8.210
the difference between numbers is +23 , +46 , +92 , +184 , +368 ,+736
9.658
the difference between numbers is +1^3+0 , +2^3+5 ,+3^3+10 , +4^3+15 , +5^3+20 ,+6^3+25
10. 928
the difference between numbers is
+2^3-2^2
+3^3-3^2
+4^3-4^2
+5^3-5^2
+6^3-6^2
+7^3-7^2
Read Number Series trick here
40*8+6=326
326*9+7=294
2946*10+8=29418
29418*11+9=323607
2.1725
the difference between numbers is +23^2 ,+25^2 , +27^2 , +29^2 .......
3.3252
the difference between numbers is -(13^2+1), -(11^2+1), -(9^2+1) , -(7^2+1), -(5^2+1)
4. 90
2442/2 + 1 = 1222
1222/2 + 3= 614
614/2 + 5 = 312
312/2 + 7 =163
163/2 + 9 = 89.5
89.5/2 + 11 = 55.75
5. 1250
,
the difference between numbers is +(3^3+3) , +(4^3+4) , +(5^3+5), +(6^3+6) , +(7^3+7),
+(8^3+8)
6.50
1953.125/2.5=781.25
781.25/2.5=312.5
312.5/2.5=125
125/2.5=50
50/2.5=20
7.59904
the difference between numbers is *1+6 , *2-12, *3+18 , *4-24 ,*5+30 , *6-36
8.210
the difference between numbers is +23 , +46 , +92 , +184 , +368 ,+736
9.658
the difference between numbers is +1^3+0 , +2^3+5 ,+3^3+10 , +4^3+15 , +5^3+20 ,+6^3+25
10. 928
the difference between numbers is
+2^3-2^2
+3^3-3^2
+4^3-4^2
+5^3-5^2
+6^3-6^2
+7^3-7^2
Read Number Series trick here