Question

28,48,90,162,?
what is next ??​

Answer 1

Answer:

198 is the next number I hope it's help

Answer 2

The final answer: is 28,48,90,162, and the next number is 276.

Step-by-step explanation:

The logic is as follows:-

Multiply the number with $\frac{3}{2}$ and then add a  number to it which follows a sequence in itself.

So Following the sample stepwise for every number:-

1)28: Multiply it by $\frac{3}{2}$ gives $\frac{3}{2}$×28= 3×14= 42.

and the next number is 48 so you want to add 48-42 = 6(6 needs to be added).

2)48: Multiply it by $\frac{3}{2}$ gives $\frac{3}{2}$×48=3×24=72.

and the next number is 90 so you want to add 90-72 = 18.

3)90: Multiply it by $\frac{3}{2}$ gives $\frac{3}{2}$×90= 3×45= 135.

and the next number is 162 so you want to add

162-135=27.

So the numbers had to be added form a sequence in them:-

6,18,27:

The series of numbers had to be added and for the next number withinside the original series, the next number on this series is needed.

6,18,27,? the difference in numbers forms a sequence on this newly formed series of added numbers.

It is (18-6) =12,(27-18)=9, and the (x-27).

So, the series is 12,9,(x-27) in an AP so the next number on this series is 6. So (x -27)=6. and x=33.

Hence the next number withinside the series is:

4) Multiply it by $\frac{3}{2}$ gives $\frac{3}{2}$×162= 3×81= 243.

after which add 33 to it, which gives 243+33= 276.

∴ 28,48,90,162, and the next number is 276.

For similar question, https://brainly.in/question/13014647

#SPJ5