Worksheet 1: Patterns, Sequences and Series Grade 12 ...

Worksheet 1: Patterns, Sequences and Series Grade 12 Mathematics CAPS 1. For each pattern: i) Determine whether the pattern is arithmetic, quadratic or geometric . ii) Find the general term Tn in terms of n iii) And find the 11th term a) 8; 4; 2; 1; .. b) ; 5; ; 13; .. c) 8; 10; 12; 14; .. d) 1; 3; 9; 27; .. e) ; ; ; ; .. f) 3; 12; 48; 192; .. g) 6; 10; 16; 24; .. h) 2; 6; 10; 14; .. i) 4; 11; 18; 25; .. j) ; ; ; ; .. 2. Give the first five terms for the general terms given below: a) b) ( ) c) d) ( ) e) ( ) 3. Calculate: a) b) c) d) ( ) e) ( ) 4. Derive the formula for: a) [ ( ) ] b) ( ) 5. Find the sum for each of these Series : a) 40 + 20 + 10 + .. + b) 83 + 79 + 75 +.

8. An arithmetic and geometric series both have the same first term, a = 9. The fifth term of the arithmetic series is equal to the second term of the geometric series minus 1. The sum of first three terms of the geometric series is equal to the twenty-eighth term of the arithmetric series.

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  Sequence, Geometric, And geometric

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