What is the next number of the following sequence 89, 234, 263, 312, ....

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15 Feb 2016 Sequence

What is the next number of the following sequence
89, 234, 263, 312, ....

OPtion

1) 325
2) 328
3) 356
4) 346
5) 368
6) 326
7) 364
8) 332
9) 338
10)None of these

Solution

89
89+8^2+9^2 = 89+64+81 = 234
234+2^2+3^2+4^2 = 234+4+9+16 = 263
263+2^2+6^2+3^2 = 263+4+36+9 = 312
Similarly
312+3^2+1^2+2^2 = 312+9+1+4 = 326

Option 6)

Correct Option: 6 Best Solution (20)

swasthika   8 years AGO

square each digit in the number and add the number
8*8+9*9 +89 =234
2*2 + 3*3 +4*4 +234 =263
similarly
3*3 + 1*1 + 2*2 =326

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Meenakshi   8 years AGO

89,234,263,312,..
8^2+9^2=145 + 89 = 234
2^2+3^2+4^2=4+9+16=29+234=263
2^2+6^2+3^2=4+36+9=49+263=312
similarly, 3^2+1^2+2^2=9+1+4=14+312=326
option 6)

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Shagun Chaudhary   8 years AGO

89+8^2+9^2=234
234+2^2+3^2+4^2=263
263+2^2+6^2+3^2=312
312+3^2+1^2+2^2=326

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Maneesh Gupta   8 years AGO

89+8^2+9^2=89+145=234
234+2^2+3^2+4^2=234+29=263
263+2^2+6^2+3^2=263+49=312
312+3^2+1^2+2^2=312+14=326
option(6)

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PRABHAT KUMAR   8 years AGO

89
89+8^2+9^2=234
234+2^2+3^2+4^2=263
263+2^2+6^2+3^2=312
312+3^2+1^2+2^2=326
Option 6

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RISHABH   8 years AGO

89= 8^2 +9^2=145
so, 89+145=234
234=2^2+3^2+4^2=29
so,234+29=263
and so on...........
312= 3^2+1^2+2^2=14
so next no. is 312+14=326

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Saipriya    8 years AGO

8^2+9^2+89=234
2^2+3^2+4^2+234=263
2^2+6^2+3^2+263=312
then,3^2+1^2+2^2+312=326

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Siddharth Jain   8 years AGO

89+ 8^2+ 9^2 = 89+64+81 = 234
234 + 2^2+ 3^2+ 4^2 = 263
263 + 2^2+ 6^2+ 3^2 = 312
312 + 3^2+ 1^2+ 2^2 = 326 Ans.

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sivaswamy cheduluri   8 years AGO

89+8^2+9^2=234
234+2^2+3^2+4^2=263
263+2^2+6^2+3^2=312
312+3^2+1^2+2^2=326

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Subha Poddar   8 years AGO

p.no+square of separate digit=next no
89+8^2+9^2=234...... so on
312+3^2+1^2+2^2=326

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MRITUNJAY   8 years AGO

89 234 263 312
145. 29. 49
81+64=145
4+9+16=29
4+36+9=49
9+1+4=14
So final number is 312+14=326
Option 6

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ayushi   8 years AGO

89=8^2+9^2=145
89+145=234
234=4+9+16=29
234+29=263
so on
.
.
.
.9+1+4=14
312+14=326

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ABHINAV PUSHPAM   8 years AGO

89 234 263 312
145. 29. 49
81+64=145
4+9+16=29
4+36+9=49
9+1+4=14
So final number is 312+14=326
Option 6

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RAHUL KUMAR   8 years AGO

89, 234, 263, 312
the diff between the these term are 145, 29, 49
81+64 = 145
4+9+16 = 29
4+36+9 = 49
9+1+4 = 14
so final number is 312+14 = 326
option (6) is correct.

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GOURANGA SUNDAR MANDAL   8 years AGO

the logic is,..every term =previoue term+sum of previous term 's digit's square.
so the last term is..312+{3^2+1^1+2^2}=326
so option 6 is correct answer

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Akshat Sood   8 years AGO

8^2+9^2+89=243
2^2+4^2+3^2+243=263
similarly 326 is the ans

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Mukund Manohar   8 years AGO

89+8^2+9^2=234
234+2^2+3^2+4^2=263
263+2^2+6^2+3^2=312
312+3^2+1^2+2^2=326

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Dr.Dipin Singh   8 years AGO

next number is 312+3^2+1^2+2^2= 312+14=326

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SHUBHAM   8 years AGO

8^2+9^2=145+89=234
2^2+3^2+4^2=29+234=263
2^2+6^2+3^2=49+263=312
3^2+1^2+2^2=14+312=326
hence (6) is the answer

Like? Yes | No (1)  

Saleel Kulkarni   8 years AGO

89+(8^2)+(9^2)=234
234+(2^2)+(3^2)+(4^4)=263
263+(2^2)+(6^2)+(3^2)=312
312+(3^2)+(1^2)+(2^2)=326
Option 6

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