arithmetic sequence test

Year 12 Arithmetic and Geometric Sequences ARITHMETIC SEQUENCES 1. State the common difference and find the 7th and 15th terms in a) 2 , 6 , 10 , …… b) 1.7 , 1.4 , 1.1 , …… 2. If the 1st term of an Arithmetic sequence is 5 and the 9th is 25, find the common difference. 3. A ball rolls down a slope so that it travels 4cm in the 1st second, 7cm in the 2nd second, 10cm in the 3rd second and so on. How far does it travel in a) the 7th second b) the nth second 4. Find the sum of the first a) 20 terms in the sequence 4 , 2 , 0 , …… b) 15 terms in the sequence -6 , -2 , 2 , …… 5. How many terms from the sequence 2 , 5 , 8 , …… will it take to reach a total of 155? 6. Calculate the sum of the first 8 terms in the sequence GEOMETRIC SEQUENCES 1. Find the a) 5th term in the sequence 80 , 20 , 5 , …… b) 8th term in the sequence 2. Find a formula in terms of n for the nth term of the geometric sequence 3. The 3rd term of a Geomtric sequence is 2 and the 6th term is . Find the 2nd term. 4. Find the sum of the first 6 terms in the sequence 64 , 16 , 4 , …… 5. Calculate correct to 3 Significant Figures the sum of the first 7 terms in the Geomtric sequence 6. The 3rd term of a Geometric sequence is 108 and the 6th term is –32. Find :- a) the common ratio b) the first term c) the sum of the first 6 terms