What is the next number of the following sequence. 7,14,23,34,....

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12 Aug 2013 Sequence What is the next number of the following sequence. 7,14,23,34,....: OPtion
1) 41
2) 47
3) 49
4) 53
5) 57
6) 61
7) 65
8) 69
9) 72
10) None of these; Correct Option: 2 Best Solution (65)

Hasina Abdulhakkim 10 years AGO

7,14,23,34,.... =>7,(7+7),(14+9),(23+11)...so next term will be 34+13=47

Like? Yes (18) | No (6)

Sahil 10 years AGO

answer is 47

14-7=7
23-14=9
34-23=11

so in this in the difference is increasing by 2, so next difference must be 13

hence 34+13=47

Like? Yes (7) | No

Md Intshamuddin 10 years AGO

7,14,23,34,.... can be written as
3^2-2,4^2-2,5^2-2,6^2-2,7^2-2...hence next term will be 7^2-2=47

Like? Yes (9) | No (3)

ravi singh 10 years AGO

2^2 + 3 = 7

3^2 + 5 = 14

4^2 + 7 = 23

5^2 + 9 = 34

6^2 + 11 = 47

Like? Yes (7) | No (1)

ABHISHEK KUMAR MISHRA 10 years AGO

14-7=7
23-14=9
34-23=11
according to above trend next term is 34+13=47
so required answer is 2) 47

Like? Yes (6) | No (2)

Mayuresh Srivastava 10 years AGO

7,14,23,34...
Difference b/w consecutive terms 7,9,11
so next differences must be 13,15 and so on
hence next term is 34+13=47.
Series will be 7,14,23,34,47,62...

Like? Yes (3) | No

Balakrishnan M 10 years AGO

7
7+7=14
14+9=23
23+11=34
34+13=47

Like? Yes (3) | No

Pradyumna K S 10 years AGO

07+00=07
07+07=14
14+09=23
23+11=34
34+13=47
hence answer is 47

Like? Yes (3) | No

mohan lal garg 10 years AGO

in this series
nth number is n²+4n+2
1st number=1+4+2=7
2nd number=4+8+2=14
3rd number=9+12+2=23
4th number=16+16+2=34
5th number =25+20+2=47.....

Like? Yes (3) | No (1)

mandeep 10 years AGO

diff. b/w 7 and 14 is 7
b/w 23 and 14 is 9
b/w 34 and 23 is 11
i.e. it forms an A.P. 7,9,11,...
so the diff b/w 34 and next term is 13 which gives 47 as the next number

Like? Yes (2) | No

Sachin Singh Gusain 10 years AGO

7
7+7=14
14+9=23
23+11=34
34+13=47

Like? Yes (2) | No

Niraj kumar 10 years AGO

respectively 7,9,11,are added to the so d last nmbr to add is 13 and rslt 47

Like? Yes (2) | No

SUMIT 10 years AGO

the sequence is the (squares of the number-2)starting from 3 that is (9-2),(16-2),(25-2),(36-2)
therefore next term is (49-2)=47

Like? Yes (2) | No

Pradeep sahu 10 years AGO

because difference between each digit is increasing by 2 then we have 47 as answer

Like? Yes (2) | No

FAISAL RIZWAN 10 years AGO

7+7=14
14+9=23
23+11=34
34+13=47
so all no. are increasing by 2

Like? Yes (3) | No (1)

Pankaj 10 years AGO

14-7=7
23-14=9
34-23=11
next term-34=13
=> next term=47

Like? Yes (2) | No

Kalidindi Mounika 10 years AGO

square of a no - 2
3^2=9-2=7
4^2=16-2=14
5^2=25-2=23
6^2=36-2=34
7^2=49-2=47

Like? Yes (1) | No

Bingumalla Abinay 10 years AGO

Given 7,14,23,34

take differences between the two numbers we get
14-7=7
23-14=9
34-23=11
so in the series the next difference should be 13
x-34=13
therefore x=34+13=47

Like? Yes (1) | No

Chandni Maurya 10 years AGO

ans=(2). 47
7+7=14
14+9=23
23+11=34
34+13=47

Like? Yes (1) | No

sandeep pandey 10 years AGO

7+7=14
14+9=23
23+11=34
34+13=47

Like? Yes (1) | No

Deepak Sharma 10 years AGO

3^2-2=7
4^2-2=14
5^2-2=23
6^2-2=34
7^2-2=47
so option 2 is correct.

Like? Yes (1) | No

vishnu vardhan 10 years AGO

7+7=14
14+9=23
23+11=34
34+13=47

Like? Yes (1) | No

Balakumaran N.A 10 years AGO

Sequence increasing by 7,9,11,13....
34+13=47.

Like? Yes (1) | No

ASHA.S 10 years AGO

7 +7 14
14+11 23
23 +9 34
34 +13 47
7,9,11,13 are odd nos starting from 7

Like? Yes (1) | No

kiruthika 10 years AGO

the ans is 47
2^2+3=7
3^2+5=14
4^2+7=23
5^2+9=34
6^2+11=47

Like? Yes (1) | No

Ankit Raj 10 years AGO

7,14,23,34,47,62,79,98,119,142,167,194,...

We notice that if we add 2 to each of those we get this
familiar sequence of squares:

9,16,25,36,49,64,81,100,121,144,169,196,...

which equals

3²,4²,5²,6²,7²,8²,9²,10²,11²,12²,13²,14²,...

Connecting it with the sequence 1,2,3,...

(1+2)²,(2+2)²,(3+2)²,(4+2)²,(5+2)²,(6+2)²,(7+2)²,(8+2)²,(9+2)²,(10+2)²,(11+2)²,(12+2)²,
which has nth term (n+2)².

The original sequence has terms which are 2 less than the terms of this
sequence, so the nth term of the original sequence is (n+2)²-2 = n²+4n+4-2 or
n²+4n+2

So the nth number is n²+4n+2.

Like? Yes (3) | No (2)

Jigyasa Kumar 10 years AGO

The nos. are following a pattern in which the differences between the consecutive nos. are in odd no.series.from 7,9,11.so the next no.will be at a difference of 13.
Answer : 47

Like? Yes (2) | No (1)

Aarush Singh 10 years AGO

the nos. are following odd no. series from 7.so the next no. will be 47 i.e.13 more than 34

Like? Yes (2) | No (1)

Sourav Maity 10 years AGO

in this series the difference between two numbers 7,9,11. so next difference is 13.so next number is 34+13=47

Like? Yes (1) | No

Vikram Saini 10 years AGO

difference b/w 7-14=7
difference b/w 14-23=9
difference b/w 23-34=11
difference b/w 34-?=13

so ans is ?=47

Like? Yes (1) | No

krishnapriya 10 years AGO

14-7=7
23-14=9
34-23=11
47-34=13

Like? Yes (1) | No

kanchan 10 years AGO

first term, 7
second term, 7+7=14
third term, 14+7+2=23
fourth term, 23+7+4(2 add by 2)=34
fifth term, 34+7+6(2+2+2,4 add by 2)=47

Like? Yes (1) | No

M Rakesh 10 years AGO

3^2-2,4^2-2,5^2-2,6^2-2, next will be 7^2-2

Like? Yes (1) | No

IFFAT IRAM 10 years AGO

diff of the consecutive nos are 7, 9,11
so next increment should be 13
next no. in the series = 47

Like? Yes (1) | No

Sanampreet Singh 10 years AGO

First number is 7.
then added 7 i.e 7+7=14.
then 14+9=23
then 23+11=34
So next is 34+13=47.

Like? Yes (1) | No

Muthu Madhavan 10 years AGO

9-2=7
16-2=14
25-2=23
36-2=34
49-2=47
so ans is 47

Like? Yes (1) | No

ritesh kumar pandey 10 years AGO

7 = 3^2 - 2
14 = 4^2 - 2
23 = 5^2 -2
34 = 6^2 - 2
47 = 7^2 - 2
so, 47 is the answer

Like? Yes (1) | No

khuzema bohra 10 years AGO

d diff bet each number is increasing by 2

Like? Yes (1) | No

Prakash 10 years AGO

7+7=14
14+9=23
23+11=34
34+13=47

Like? Yes (1) | No

sc mandota 10 years AGO

Difference increases by 2

Like? Yes (1) | No

SARASVATHI 10 years AGO

14-7=7
23-14=9
34-23=11
so
34+13=47
the difference between the two nos are in the odd series.

Like? Yes (1) | No

MD JARJIS HOSSAIN 10 years AGO

The n-th term is f(n) = n^2 + 2n - 1. For example,
f(1) = 1^2 + 2(1) - 1 = 2,
f(2) = 2^2 + 2n - 1 = 7,
f(3) = 3^2 + 2(3) - 1 = 14, and so on.

Like? Yes (1) | No

mohamed ismail 10 years AGO

the difference between the consequent numbers are 7,9,11,13.....

Like? Yes (1) | No

shamily.k 10 years AGO

The difference between the above numbers are odd numbers. Eg)14-7=7, 23-14=9 and 34-23=11. so the next odd number is 13. 34+13=47.
So the ans is 47.

Like? Yes (1) | No

rajkumar m 10 years AGO

7+7=14
14+9=23
34+11=34
34+13=47

Like? Yes (1) | No

saravanakumar 10 years AGO

7+7=14
14+9=23
23+11=34
34+13=47

Like? Yes (1) | No

ShAg 10 years AGO

difference increases by 2 at each stage:
14-7=7
23-14=9
34-23=11
47-34=13

Like? Yes (1) | No

chandan kumar yadav 10 years AGO

the difference between 7 and 14 is 7.
everytime the difference increases by 2.
that is, the next difference is 9 and its between 14 and 23.
similarily the difference between 23 and 34 is 11.
hence, the next difference is 13.
therefore the answer is 47.

Like? Yes (1) | No

shekhar pankaj 10 years AGO