Answer all please

2. (2.1) (2 points) Calculate the first four terms of the quadratie sequences given. geometric Space for work in 3. (3 points) Write provided. Name: Tn = 5n Sn = 3n Answer: In - 3 ... Sn = (2.2) (2 points) Use sequences sn and In to create two new sequences in and Un as indicated below Find the first three terms of these sequences. tn = Sn+1 - Sn for n 2 1 Un = In+1 - In for n 2 1 tn = un = (2.3) (4 points) State explicit formulas for tn and Un. What type of sequences are they? Work space: Type of Sequence: O Arithmetic O Geometric O Other tn = un = Remark: Your conclusion in this problems has parallels to calculus. In calculus, a key concept/ process is taking the derivative of functions. One key fact is that the first derivative of a quadratic function is linear and the first derivative of an exponential function is an exponential function. Page