Calculate an+1/an and use this value to determine whether sequence is monotonic increasing, momotonic decreasing, or neither. 2 { } ! Explain why sequence { 4+1 } converges and why sequence {5 + (1) } diverges. Rewrite given sum using notation starting with n=1: 1 1 1 1 ( 3) + (9) + ( 27) + (81) + ... Calculate the first four partial sum s1, s2, s3, s4 of the given series: (1) 2 =1 Man tennis ball is thrown 40 feet straight up into the air. On each bounce it rebounds to 60% of it's previous height. a) Use notation to make a formula for total distance ball will travel (up and down). b) Use formula for Sum of Geometric Series (section 10.3 page 2) to calculate total distance. Find all values of x for which the given geometric series converges: (2 9) =1 Use the Integral Test to determine whether the series converges or diverges: =1 ln() Use the Integral Test to determine whether the series converges or diverges: =2 2 1 1 Use the Comparison Test to determine whether the series converges or diverges: =1 ( + 5) 10 Use the Comparison Test to determine whether the series converges or diverges: =1 2 () 2 \f3