Question

Find the next number in the series.16, 48, 144, 432, ?​

Answer 1

SOLUTION

TO DETERMINE

The next number in the series 16, 48, 144, 432

FORMULA TO BE IMPLEMENTED

If in a Geometric series

First term = a

Common Ratio = r then

nth term of the series

$= \sf{a \times {r}^{n - 1} }$

EVALUATION

Here the given series is 16, 48, 144, 432

First term = 16

Second Term = 48

Third term = 144

∴ Second term ÷ First term = 3

Third term ÷ Second term = 3

Hence the given series is Geometric series

First term = a = 16

Common Ratio = 3

Here 4 terms are given

So next term means 5th term of the series

So next term of the series

$= \sf{a \times {r}^{n - 1} }$

$= \sf{16 \times {(3)}^{5 - 1} }$

$= \sf{16 \times {(3)}^{4} }$

$= \sf{16 \times 81}$

$= 1296$

FINAL ANSWER

The required answer is 1296

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Answer 2

HELLO DEAR,

GIVEN:- Find the next number in the series.16, 48, 144, 432, ?

Answer: The numbers are 16,48,144,432,?

After making logic,

We get,

16× 3 =48

48 × 3 = 144

144 × 3 = 432

So, 432 × 3 = ?

Therefore 432 × 3 = 1296.

The numbers 16, 48, 144, 432 , 1296.

I HOPE IT'S HELP YOU DEAR,

THANKS.