Question

Find the next number.
5,10,19 ,36,69,? WITH SOLUTION PLEASE.

Answer 1

134

10=5x2
19=10x2-1
36=19x2-2
69=36x2-3
134=69x2-4

Answer 2

The next term in 5,10,19 ,36,69,? is 134

Solution:

We have been given a series as follows:

5,10,19 ,36,69,?

We need to find the next number.

Let the unknown number be ‘x’

If we look closely at the given series we can identify a pattern as follows:

$\begin{aligned}&10=5 \times 2-0\\&19=10 \times 2-1\\&36=19 \times 2-2\\&69=36 \times 2-3\\&x=69 \times 2-4\end{aligned}$

Therefore the next term is:

x = 69 x 2 - 4 = 138 - 4 = 134

Thus next term is 134

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