Question

what is the common ratio between any two consecutive terms in the sequence 2,4,12,48,240​?

Answer 1

Answer:

If we look at this sequence, we find that each time numbers two numbers are taken as a pair,added by each other and then multiplied by a multiplicand(2nd no.).The second no. starts with 2 and individually keeps increasing by ‘+1’ as we keep pairing the numbers from right side.Then it will be,

2+4=6×2=12

4+12=16×3(2+1)=48

12+48=60×4(3+1)=240

So,the ans. will be,

240+48=288×5(4+1)=1440

Therefore,the next number in the sequence is ‘1440’.

Answer 2

Step-by-step explanation:

2*2=4

4*3=12

12*4=28

48*5=240

240*6=1440

?=1440

missing no =1440

rule is first number

=Last number*(number sequence+1)

N th number=(n-1)th number *(N-1)