a)The n term of an Arithmetic Progression is 8n - 3. Determine which term in A.P is equal to 85.b) The first term of an A.P is 3. The sum of the first 8 terms is 136 and the sum of the entire series...

a)The n term of an Arithmetic Progression is 8n - 3. Determine which term in A.P is equal to 85.b) The first term of an A.P is 3. The sum of the first 8 terms is 136 and the sum of the entire series is 820. Determine the common difference and the number of terms.c) The first three terms of a geometric sequence are y, y + 5 and y +15. All the terms are positive. Calculate the 5th term. d) The sum of the first three terms of a geometric series is 77 and the sum of the first six terms is 693. Find the common ratio and the first term.e) A ball is released from the ceiling of height 5 m from the floor. Each time the ball hits the floor it bounces vertically to a height that is 2 3 of its previous height. Find a) the height the ball reaches at its third bounces. b) the total distances travelled by the ball before its eleventh bounces.