Given that A1 = 1 in sequence an and point (an, an + 1) is on the image of function f (x) = x + 2, the general term formula is obtained

Given that A1 = 1 in sequence an and point (an, an + 1) is on the image of function f (x) = x + 2, the general term formula is obtained

If the point (an, an + 1) is on the function f (x) = x + 2 image, then the point (an, an + 1) satisfies the function relation
That is, an + 1 = an + 2
Because an + 1-an = 2 is constant
So the sequence {an} is an arithmetic sequence with 1 as the first term and 2 as the tolerance
So an = 2N-1