Question

28,48,90, 162,?
find the series
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Answer 1

Answer:

Hey mate

Your answer is-

240 - I think

Hope it is correct...

Answer 2

Answer:276

Step-by-step explanation:

The sequence reads as 28,48,90,162,?(Need to find the next number)

The logic is as follows:-

Multiply the number with ($\frac{3}{2}$) and then add some number to it which follows a sequence in itself:-

So Following the pattern stepwise for each 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 need 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 need to add

90-72 = 18(18 needs to be added).

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

and the next number is 162 so you need to add

162-135=27(27 needs to be added).

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

6,18,27:-Sequence of the numbers needed to be added and for the next number in the original sequence the next number in this sequence is needed.

6,18,27,??, So here      Denote the mission number in sequence as ??

the difference in numbers forms a sequence in this newly formed sequence of added numbers.

So, it is (18-6)=12,(27-18)=9 and the (??-27) so,

sequence is 12,9,(??-27) in an AP so the next number in this sequence is 6 .So

(??-27)=6. and ??=33.

Hence the next number in the sequence is:-

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

and then add 33 in it, which gives the answer as 243+33=276.

Answer:276.

For more such questions:-https://brainly.in/question/13014647

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