Question

calculate the next three numbers of each progression1) 15,-14,13,-12...2)243,81,27...3)5,12,26....4)2,5,9,14...

Answer 1

Given data:

The first series is 15,-14,13,-12...

The second term can be written as,

$-14=15\times(-1)+1$

The third term can be written as,

$13=-14\times(-1)-1$

The next term can be written as,

$\begin{gathered} a_5=-12\times(-1)-1 \\ =11 \end{gathered}$

Thus, the next term of the given series is 11.