This problem comprehensively examines the basic knowledge and skills such as the operational nature of exponential function, the geometric meaning of derivative, the general formula of arithmetic progression and geometric progression and its first N formulas, and investigates the reasoning ability, computing ability and "dislocation subtraction", which is still relatively difficult. But the answer is below, take a closer look at the answer and the idea of solving the problem, I believe you will understand ~

Here are the answers/exercises/math /804 188. The tolerance of arithmetic progression {an} is d, and the point (an, bn) is on the image of function f (x) = 2 x (n ∈ n *).

(1) If a 1=-2, and the point (a8, 4b7) is on the image of the function f(x), find the first n terms of the sequence {an} and sn;

(2) If a 1= 1, the intercept of the tangent of the image of function f(x) at point (a2, b2) on the X axis is 2- 1/ln2, and the first n terms of the sequence {an/bn} and t n are found.