ARITHMETIC SEQUENCE PROBLEMS AND SOLUTIONS

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Problem 1 :

Find the middle term(s) of the following arithmetic sequence :

9, 15, 21, 27, …………., 183

Solution :

Problem 2 :

If nine times the ninth term of an arithmetic sequence is equal to  fifteen times the fifteenth term, show that six times the twenty fourth term is zero.

Solution :

Problem 3 :

If 3 + k, 18 – k and 5k + 1 are in arithmetic sequence, then what is the value of k?

Solution :

Problem 4 :

Find the values of x, y and z, given that x, 10, y, 24 and z are in arithmetic sequence.

Solution :

Problem 5 :

In a theatre, there are 20 seats in the front row and 30 rows were allotted. Each successive row contains two additional seats than its front row. How many seats are there in the last row?

Solution :

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