Question

10 40 140 420 1050 ?
what comes the next word?

Answer 1

The next term in series 10, 40, 140, 420, 1050 is 2100

Solution:

Given that the series 10, 40, 140, 420, 1050

We need to find the next term in the series

The pattern is as follows:

$\begin{array}{l}{10 \times 4=40} \\\\ {40 \times 4-\left(\frac{1}{2} \times \text { Preceeding number }\right)=160-\frac{40}{2}=140} \\\\ {140 \times 3=420} \\\\ {420 \times 3-\left(\frac{1}{2} \times \text { Preceeding number }\right)=1260-\frac{420}{2}=1050}\end{array}$

Hence the next number will be,

$1050 \times 2=2100$

Thus the next term in the series is 2100

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