Question

16, 40, 100, 250, ?
what will come in place of '?'
with reasoning ​

Answer 1

Answer:

625 iz the answer

Step-by-step explanation:

because the common ratio of the geometric sequence is 2.5

Answer 2

The next term in series 16, 40, 100, 250, ? is 625

Solution:

Given that the series is 16, 40, 100, 250

We need to determine the next term in the series

The logic for the series is given as:

$16 \times 2.5 = 40\\\\40 \times 2.5 = 100\\\\100 \times 2.5 = 250$

Hence the next term in the series is obtained by multiplying the previous term with 2.5

Thus the next term will be,

$250 \times 2.5 = 625$

Thus the next term is 625

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