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*(-1)+1`

The third term can be written as,

`13=-14*(-1)-1`

The next term can be written as,

`\begin{gathered} a_5=-12*(-1)-1 \\ =11 \end{gathered}`

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