What is the next number of the following sequence 6, 9, 13.5, 20.25, 30.375, .....

M4maths Previous Puzzles

04 May 2015 Sequence What is the next number of the following sequence 6, 9, 13.5, 20.25, 30.375, .....: OPtion
1) 45.5625
2) 45.5
3) 45.56
4) 45.6552
5) 47.5625
6) 46.25
7) 45.5225
8) 45.7575
9) 47.5
10)45; Correct Option: 1 Best Solution (64)

Supriya Mondal 9 years AGO

Here,we can get next term by multiplying 1.5 to the previous term.
6*1.5=9
9*1.5=13.5
13.5*1.5=20.25
20.25*1.5=30.375
30.375*1.5=45.5625
So, option 1)45.5625 is the right answer

Like? Yes (8) | No

shaik sharina 9 years AGO

6+6/2=9
9+9/2=13.5
13.5+13.5/2=20.25
20.25+20.25/2=30.375
30.375+30.375/2=45.5625

Like? Yes (4) | No

bhavya 9 years AGO

6+(6/2)=9
9+(9/2)=13.5
13.5+(13.5/2)=20.25
20.25+(20.25/2)=30.375
30.375+(30.375/2)=45.5625

Like? Yes (4) | No

Adesh 9 years AGO

Here ans. is 45.5625
bcz in sequence.....

nth no. = [(n-1)th no.] + [(n-2)th no.] - [1.5^(n-2)].
As,

1st no. = (6)
2nd no. = (9)
3rd no. = (6)+(9)-(1.5^1)=13.5
4th no. = (9)+(13.5)-(1.5^2)=20.25
5th no. = (13.5)+(20.25)-(1.5^3)=30.375

and the 6th no. is...
(20.25)+(30.375)-(1.5^4) = 45.5625.

Hence (1) i.e., 45.5625 is correct.

Like? Yes (4) | No

moumita 9 years AGO

6*1.5=9
9*1.5=13.5
13.5*1.5=20.25
20.25*1.5=30.375
30.375*1.5=45.5625

Like? Yes (5) | No (2)

b.subbarao 9 years AGO

6
6*1.5=9
9*1.5=13.5
13.5*1.5=20.25
20.25*1.5=30.375
30.375*1.5=45.565 so option 1 is correct

Like? Yes (3) | No

Ravi Kumar Kodari 9 years AGO

30.375*1.5=45.5625 ans.

Like? Yes (3) | No

sai charan 9 years AGO

(6+9)-9/6=13.5,
(13.5+9)-13.5/6=20.25
(20.25+13.5)-20.25/6=30.375
(30.375+20.25)-30.375/6=45.5625

Like? Yes (2) | No

~Sandeep~ 9 years AGO

nth team = (n-1) term * 1.5
Hence 6th Term = 5th Term * 1.5 = 30.375 * 1.5 = 45.5625

Like? Yes (4) | No (2)

SUSHANT KUMAR 9 years AGO

6*1.5=9
9*1.5=13.5
13.5*1.5=20.25
20.25*1.5=30.375
30.375*1.5=45.5625

Like? Yes (2) | No

aman aditya 9 years AGO

6+ 6/2
=>6+3=9
9+4.5=13.5
30.375+15.1875=45.5625

Like? Yes (2) | No

hari 9 years AGO

Next number = 1.5 * prev_number

Like? Yes (3) | No (1)

Jay parmar 9 years AGO

first number*1.5= second number

Like? Yes (2) | No

SAGNIK DATTA 9 years AGO

each term is 1.5*previous term
so 30.375*1.5=45.5625

Like? Yes (2) | No

Prateek Rai 9 years AGO

30.375/2+30.375=45.5625

Like? Yes (3) | No (1)

Aditi Tenguria 9 years AGO

9/6=3/2
13.5/9=3/2
.....
45.5625/30.375=3/2

Like? Yes (2) | No

kranthi kanchanapally 9 years AGO

6*1.5=9
9*1.5=13.5
13.5*1.5=20.5
20.5*1.5=30.375
30.375*1.5=45.5625
so option 1 is correct

Like? Yes (2) | No

sravani 9 years AGO

9-6=3
13.5-9=4.5=3+3/2
similarly
13.5+(4.5+4.5/2)=20.25
20.25+(6.75+6.75/2)=30.375
30.375+(10.125+10.125/2)=45.5625

Like? Yes (2) | No

ABHINAV PUSHPAM 9 years AGO

Each number is divided by 2 and added to that number itself.
So option 1)

Like? Yes (2) | No

Sundar Kumar 9 years AGO

4*1.5=6,
6*1.5=9,
9*1.5=13.5,
13.5*1.5=20.25 ,
20.25 *1.5 =30.375,
hence it will give 30.375*1.5=45.5625
Answer: Option: 1)45.5625

Like? Yes (2) | No

Pranati Kundu 9 years AGO

let x be the next number
x/30.375=1.5
as the common ratio is 1.5
x=45.5625

Like? Yes (2) | No

umesh 9 years AGO

the sequence is in form
6,6*3/2,9*3/2,13.5*3/2,20.25*3/2,30.375*3/2
45.5625 ans..

Like? Yes (2) | No

Rahul Das 9 years AGO

20.5=6+(6+9+13.5)/2
30.375=6+(6+9+13.5+20.5)/2
45.5625=6+(6+9+13.5+20.5+30.375)/2
a
so answer is option 1

Like? Yes (2) | No

Bholanath 9 years AGO

6+6/2 = 9
9+9/2 =13.5
13.5 + 13.5/2 = 20.25
20.25+20.25/2 = 30.375
30.375 +30.375/2 = 45.5625 Ans.

Like? Yes (2) | No

kundan kumar 9 years AGO

ist no+3=2nd no+3*1.5=3rd no +3*1.5*1.5=4th no+3*1.5*1.5*1.5=5th no+3*1.5*1.5*1.5*1.5=6th no

Like? Yes (2) | No

A.P.Singh 9 years AGO

Next term is obtained by multiplying previous term by 1.5.

Like? Yes (2) | No

Dr.Dipin Singh 9 years AGO

nth term is obtained by following formula:-
Tn = 4*(1.5)^n
T1=6
T2= 4*2.25=9
.. so on

Like? Yes (2) | No

neha gupta 9 years AGO

the given series can be written as
6,9,27/2,81/4,243/8,
so next term is 729/16=45.5625

Like? Yes (2) | No

aarav 9 years AGO

13.5/6=2.2 2.2*9=20.25 20.25/6=3.375 3.375*9=30.375 30.375/6=5.0625 9*5.0625=45.5625...
Hence we have our answer that is option 1

Like? Yes (2) | No

sumit bansode 9 years AGO

at each step next no is 1.5 times of previous no

Like? Yes (2) | No

ADERU CHENCHU NITHISH 9 years AGO

given sequence is in g.p
so common ratio r=1.5
sixth term=a*r^(n-1)=6*1.5^(5)=45.5625

Like? Yes (2) | No

Subrata Sadhukhan 9 years AGO

here next number is add the previous no and half of the number.
let 9+4.5=13.5
so
30.375+15.1875=45.5625

Like? Yes (2) | No

rajkumar 9 years AGO

6
6/2=3; 3+6=9
9/2=4.5; 4.5+9=13.5
13.5/2=6.75; 6.75+13.5=20.25
20.25/2=10.125; 10.125+20.25=30.375
30.375/2=12.1875; 15.1875+30.375=45.5625

Like? Yes (2) | No

praveen kumar 9 years AGO

20*2.25=45.5625

Like? Yes (2) | No

ANANTHI.P 9 years AGO

6/2=3(6+3=9)
9/2=4.5(9+4.5=13.5)
13.5/2=6.75(13.5+6.75=20.25)
20.25/2=10.125(20.25+10.125=30.375)
30.375/2=15.1875(30.375+15.1875=45.5625)

Like? Yes (2) | No

Neeraja Aruva 9 years AGO

6,
6+half of 6=6+3=9,
9+half of 9=9+4.5=13.5,
13.5+half of 13.5=13.5+6.75=20.25
20.25+half of 20.25=20.25+10.125=30.375
30.375+half of 30.375=30.375+15.1875=45.5625

Like? Yes (2) | No

MANNISH 9 years AGO

30.375/2 +30.375

Like? Yes (2) | No

Meenakshi 9 years AGO

Every term is of the form x+0.5*x
6+0.5*6=9
9+0.5*9=13.5
so similarly
30.375+0.5*30.375=45.5625
option 1)

Like? Yes (2) | No

Yathiraj 9 years AGO

next number is 1.5 times the previous number.

Like? Yes (2) | No

sathish 9 years AGO

6*1.5=9
9*1.5=13.5
13.5*1.5=20.25
20.25*1.5=30.375
30.375*1.5=45.5625

Like? Yes (2) | No

Josepheena Joseph 9 years AGO

6+(6/2) = 9
9+(9/2) = 13.5
13.5+(13.5/2) = 20.25
20.25+(20.25/2) = 30.375
30.375+(30.375/2) = 45.5625

Like? Yes (2) | No

vibhu raj gupta 9 years AGO

multiply with 1.5 to get next term
and multiply 30.375*1.5=45.5625

Like? Yes (2) | No

M.Ranjith Kumar 9 years AGO

Dif between all no 1.5 so 30.375x1.5=45.5625

Like? Yes (2) | No

PAWAN KUMAR 9 years AGO

Next no = prev no *1.5

Like? Yes (2) | No

NITHYA 9 years AGO

6+(6/2) +( 9+9/2) +....

Like? Yes (2) | No

sompon temtheerakij 9 years AGO

6/2+6 = 9
9/2+9 = 13.5
13.5/2+13.5 = 20.25
20.25/2+20.25 = 30.375
30.375/2+30.375 = 45.5625

Like? Yes (2) | No

jaganmohan rao .pola 9 years AGO

45.5625

Like? Yes (2) | No

Bhavya Goyal 9 years AGO

9 = 6 + 1/2*(6)
13.5 = 9 + 1/2*(9)
20.5 = 13.5 + 1/2 *(13.5)
30.375 = 20.25 + 1/2 * (20.25)

next value will be : 30.375 + 1/2(30.375) = 45.5625

Like? Yes (2) | No

sai 9 years AGO

30.375/2 + 30.375

Like? Yes (2) | No

vamsy 9 years AGO

6*1.5=9
9*1.5=13.5
13.5*15=20.25
30.375*1.5=45.5625

Like? Yes (2) | No

sravya 9 years AGO

the sequence is followed by multiplying the numbers with 1.5
6*1.5=9,9*1.5=13.5 and so on 30.375*1.5=45.5625

Like? Yes (2) | No

santosh kumar 9 years AGO

The pattern is the number + 1/2 the number = the next number.

30.375*(1/2)= 15.1875

30.375+15.1875= 45.5625

Like? Yes (2) | No

Abhishek Ranjan 9 years AGO

6+(9-6)�1.5=13.5
13.5+(13.5-9)�1.5=20.25
20.25+(20.25-13.5)=30.375
30.375+(30.375-20.25)�1.5=45.5625

Like? Yes (2) | No

Devendra Marghade 9 years AGO

6*1.5=9
9*1.5=13.5
13.5*1.5=20.25
20.25*1.5=30.375
30.375*1.5=45.5625
So answer is option 1)

Like? Yes (2) | No

siddharth prakash singh 9 years AGO

6 +[6/2] =9
9+[9/2]=13.5
13.5+[13.5/2]=20.25
20.25+[20.25/2]=30.375
30.375+[30.375/2]=45.5625

Like? Yes (2) | No

DEBAYAN BASU 9 years AGO

All the numbera are increasing by multiplying with 1.5!

Like? Yes (2) | No

Madhumoy Gope 9 years AGO

30.375*1.5=45.5625

Like? Yes (2) | No

penchalaiah63@gmail.com 9 years AGO

6... half...3
6+3=9...half....4.5
9+4.513.5 .... its half is .... 6.75
13.5+6.75=20.25 .... its half is ....10.125
20.25+10.125=30.375 .... its half is ....15.1875
30.375+15.1875=45.5625

Like? Yes (2) | No

Math Lovers 9 years AGO

next number is 1.5 times of previous number .
so answer = 30.375*1.5 = 45.5625

Like? Yes (2) | No

Rahul Verma 9 years AGO

evry nxt term is the product of preeceding term and 1.5
e.g. 6* 1.5 =9
9* 1.5= 13.5
likewise 30.375 * 1.5 = 45.5625

Like? Yes (2) | No

dola 9 years AGO

each number difference is multiplied by 1.5.

Like? Yes (2) | No

MRITUNJAY 9 years AGO

next number is difference between number and divide by 2 in each term
10.125+10.125/2=15.1875
next term is=15.1875+30.375=45.5625

Like? Yes (2) | No

kishore 9 years AGO

9-6 =3
3+ 3/2 = 4.5 = 9 + 4.5 = 13.5
previous number + diffb/w previous numbers + diff / 2

Like? Yes (3) | No (2)

rakesh singh 9 years AGO

9+6=15*9=135shifted by 1 decimal place i.e13.5
13.5+9=22 .5*9=202.5,shifted by 2 decimal place i.e20.25
20.25+13.5=33.75*9=303 .75,shifted by 3 decimal placei.e30.375
20.25+30.375=50.625*9=455.625,shifted by 4 decimal place,i.e 45.5625

Like? Yes (1) | No

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What is the next number of the following sequence 6, 9, 13.5, 20.25, 30.375, .....

M4maths Previous Puzzles

04 May 2015 Sequence

What is the next number of the following sequence
6, 9, 13.5, 20.25, 30.375, .....

OPtion

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