Question

how to express the pattern : 1,4,13,40,... in the form of algebraic expression?

Answer 1

the difference between the numbers increases by 3 times, doesn't it make a pattern?

Answer 2

Yeah , i meant like a arithmatic sequences or like that .

Answer 3

You can use something called as method of difference, i am not sure of this method , but you use this method

Answer 4

ok, THNX

Answer 5

is it not a geometric pattern or something?

Answer 6

npes

Answer 7

From Mathematica v9:\[\text{FindSequenceFunction}[\{1,4,13,40\},n]=\frac{1}{2} \left(3^n-1\right) \]

Answer 8

thnQ!!! :-)