Find a formula for the general term an (not the partial sum) of the infinite series (starting with a1). H 1 + J ... 16 64 256 an =For the series compute the partial sums: 31: S2 53 84: You will have to compute these as a fraction, you will not be able to write your answer as sum. Use the formula for the sum of a geometric series to find the sum or state that the series diverges (enter DIV for a divergent series). 3n 14n n=4 S =series). Use the formula for the sum of a geometric series to find the sum or state that the series diverges (enter DIV for a divergent S = 4 7 + 48 72 73 74 + .. .Use the formula for the sum of a geometric series to find the sum or state that the series diverges (enter DIV for a divergent series). 5-2n n=9 S =Use the formula for the sum of a geometric series to nd the sum or state that the series diverges (enter DIV for a divergent series). 25+5+1+4+16+ 64 + 16 4 5 25 125 Calculate S3, S4, and S and then find the sum for the telescoping series H S = n+1 n + 2 n=6 where Sk is the partial sum using the first k values of the series. S3 SA = S5 S =OO Write S = 1 n (n-1 ) as a telescoping series and find its sum. n=7 SN = S =Determine whether the series converges, and if so find its sum. k=1 (k + 4) (k + 5) Enter DNE if the sum does not exist.)A ball dropped from a height of 10 feet begins to bounce. Each time it strikes the ground, it returns to % of its previous height. What is the total distance traveled by the ball if it bounces innitely many times? Total distance =