1) 7,9,12,17,24,35, ,65 2) 42,55,71,90, ,137,165 3) 3,4,8,17, ,58,94 4) 1,2,8,33, ,765 Explain the pattern - Maths - Relations and Functions

Question

1) 7,9,12,17,24,35,? ,65
​2) 42,55,71,90,?,137,165
​3) 3,4,8,17,?,58,94
4) 1,2,8,33,?,765

Explain the pattern in above the numbers, what number should come
in place of question mark pls explain

Shruti Tyagi · Accepted Answer

Dear student,

3) We have,3, 4, 8, 17, x, 58, 94Difference between 1st and 2nd: 4−3=1      =12Difference between 2nd and 3rd: 8−4=4      =22Difference between 3rd and 4th: 17−8=9      =32Difference between 4th and 5th: x−17=         =42Difference between 5th and 6th: 58-x=         =52Difference between 6th and 7th: 94-58=36   =62Clearly we can see that the differences between the terms are the square numbers starting from 1
 ∴  Difference between 4th and 5th=42=16⇒x−17=16⇒x=17+16⇒x=33thus we got the 5th term as 33we check this with the diff
 between  5th and 6th whether we are getting 52

ques 4) We have,1, 2, 8, 33, x, 765Explanation :1×1+12=(1+1)=22×2+22=(4+4)=88×3+32=(24+9)=3333×4+42=(132+16)=148148×5+52=(740+25)=765thus we get x=148

Regards

1) 7,9,12,17,24,35,? ,65 ​2) 42,55,71,90,?,137,165 ​3) 3,4,8,17,?,58,94 4) 1,2,8,33,?,765 Explain the pattern in above the numbers, what number should come in place of question mark... pls explain...

1) 7,9,12,17,24,35,? ,65
2) 42,55,71,90,?,137,165
3) 3,4,8,17,?,58,94
4) 1,2,8,33,?,765

Explain the pattern in above the numbers, what number should come in place of question mark... pls explain...