Progression: AP and GP

Given an arithmetic progression is 24, 20,16, find the (a) 10th term and (b) the sum of the first 30 terms.

Find the sum of all odd number between 5 and 200.

Given that the first three terms of an arithmetic progression are 2x, 2y+3 and 5y+1, express y in term of x

A geometric progression has a common ratio of 1/3 and the sum to infinity is 30. Find the first term of the progression.

Given that the nth term of the geometric progression  $-\frac{1}{3},\ 1,\ -3,\ 9,\ ...$  is 729, find the value of n.

The first term of an arithmetic progression A is 1 and it is the same as 4th term of an arithmetic progression B which has a common different of 2. Find

(a) the first term of arithmetic progression B.

(b) the common difference of the arithmetic progression A if the sum of the first four terms of this progression is 22.

Given sequence 4,7,10,13.... 28 of AP.Find the number of term of this sequence .

Given a sequence of Geometric Progression are 4,16,64,256.....Find T7.

Given a series 2+4+6+8...find the sum to infinity of this GP.

You have RM 10 in you bank account. It doubles every month. How much money will you have after 5 months?