Question

Find the recurrence relation of the given sequence `1 2 5 11 26 ...?​

Answer 1

Given :   sequence `1 2 5 11 26 ...?​

To find : Next number

Solution:

1

2

5    =  1 * 3  +  2

11  =    2  * 3   +  5

26  =  5 * 3  +  11

? =  11 * 3  + 26   = 59

Logic is

T₁ = 1

T₂ = 2

Tₙ₊₂   = 3 * Tₙ   + 2* Tₙ+1

Next number in sequence = 59  

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Answer 2

Answer:

Step-by-step explanation:

As a1=1;
a2=2;
an=an-1 +3an-2;
let's say you want to find a3
a3=an-1 +3an-2;
a3=a2 +3a1;
a3=2+3(1);
a3=5;