Can I get both answers and full solutions for these homework questions? I would like all the steps shown.

Appreciate the help!

21. If the sum of the first 9 terms of a geometric series is 98 410 and the common ratio is 3, determine the value of the first term. 21. 3 marks 22. Find the common ratio for each of the following geometric series. Determine whether a sum to infinity exists. Find the sum where it exists. a) 9 + 3+ 1.... r = 1 mark S = 2 marks b) 7 - 1+_ 7 - . .... r = 1 mark S = 2 marksC) -4+6 -9+.... r = 1 mark S = 2 marks 23. The sum of an infinite geometric series is ~ and the common ratio is Find the first term. 23. 2 marks 24. A hard rubber ball is dropped from a moving van with a height of 5 metres. The ball rises to 80% of the previous height after each bounce. a) determine the total vertical distance the ball has traveled when it strikes the ground the eighth time. a) 3 marksb) estimate the total vertical distance the ball travels before it comes to rest. b ) 2 marks 25. For what values of x for the geometric series have a sum to infinity? 1 + 3x + 9x2 + 27x +.... 25. 2 marks 26. State the number of terms in each series. a) 33 20-3 a = 17 a) 1 mark b + 12 b) 2 3n - 7 k = b b) mark\f