What is the next no of the following sequence 1, 26, 126, 351, ......

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15 Apr 2013 Sequence

What is the next no of the following sequence
1, 26, 126, 351, ......

OPtion

1) 1251
2) 976
3) 927
4) 880
5) 835
6) 792
7) 751
8) 675
9) 651
10)None of these

Solution

1 = 1
1+5^2 = 26
26+10^2 = 126
126+15^2 = 351
351+20^2 = 751
option 7

Correct Option: 7 Best Solution (13)

G REDDI SAI AKHIL   11 years AGO

1+5^2=26
26+10^2=126
126+15^2=351
351+20^2=751

Like? Yes (5) | No (1)  

Dr.Dipin Singh   11 years AGO

0^2+1=1
0^2+5^2+1=26
0^2+5^2+10^2+1= 126
0^2+5^2+10^2+15^2+1= 351
0^2+5^2+10^2+15^2+20^2+1= 751 .. option 7

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sainath   11 years AGO

26 = 1 + 25 = 1 + 5^2
126 = 26 + 100 = 26 + 10^2
351 = 126 + 225 = 126 + 15^2
so next number is 351 + 20^2 = 351 + 400 = 751.

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Dr. Divya   11 years AGO

1, 26, 126, 351,751

0^2+1=1
5^2+1=26
10^2+26=126
15^2+126= 351
20^2+351=751

Like? Yes (2) | No (1)  

Satyendra Singh   11 years AGO

1
25+1=26
25*4+26=126
25*9+126=351
25*16+351=751

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prashant thakur   11 years AGO

1+5^2=26
26+(5+5)^2=126
126+(5+5+5)^2=351
so
351+(5+5+5+5)^2=751

Like? Yes (2) | No (1)  

Vinay Sipani    11 years AGO

1 = 1 + 0^2
26 = 1 + 5^2
126 = 1 + 5^2 + 10^2
351 = 1 + 5^2 + 10^2 + 15^2
=> next term = 1 + 5^2 + 10^2 + 15^2 + 20^2 = 751

Like? Yes (1) | No (1)  

Nipun saini   11 years AGO

1*1+0=1
5*5+1=26
10*10+26=126
15*15+126=351
20*20+351=751

Like? Yes (1) | No (1)  

srinivasulareddy   11 years AGO

26-1=25=5^2
126-26=100=10^2
351-126=225=15^2
???-351=400=20^2
ie.,answer is 751

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sanjay kumar   11 years AGO

1,26,126,351,..............
26-1=25
100-26=100
351-126=225
now
100-25=75
225-100=125
from above we got that in each step it increases with 50 means second sequence will be 75,125,(125+50)

therefore,next term will increase
with 225+175=400
it means next term will be 351+400=751
ans:7

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Dhivya   11 years AGO

26-1 =25=5^2
126-25=100=10^2
351-126=225=15^2

so, 351+20^2=751

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Lakshmipathi Aveti   11 years AGO

1 square,5 sq + previous no, 10 sq + pr no , 15 sq + pr no. and now 20 sq + previous no.ie ans(400+351=751).

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RAJESHKUMAR   11 years AGO

1^2, 1^2+5^2, 1^2+5^2+10^2, 1^2+5^2+10^2+15^2
Answer= 1^2+5^2+10^2+15^2+20^2

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