Looking for patterns 14A Pattern 2 8 dots Pattern 3 11 dots Pattern 4 14 dots ai
ID: 3195775 • Letter: L
Question
Looking for patterns 14A Pattern 2 8 dots Pattern 3 11 dots Pattern 4 14 dots aihite down a rule connecting the pattern number and the number of dots. The rale connecting the pattern number and the number of dots is: Number of dots (3 x patterm number) + 2 For each of these patterns, write down i the number of dots in the 5th pattern, i the number of dots in the 50th pattern, ii a rule connecting the pattern number and the number of dots. a Pattern number Number of dots 2 4 68 b Pattern number 2 3 4 5 Number of dots 8 C Pattern number 1 2 345 5 Number of dots Pattern 1 Pattern 2 Pattern 3 Write down the number of squares in i each of these patterns ii the next pattern in the sequence, ii the 20th pattern in the sequence. a b Write down a rule connecting the pattern number and the number of squares. 85Explanation / Answer
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Given
a) Clearly the general term shall be 2n where n is the number of pattern
Now since it is the fifth pattern hence the nuber of dots shall be 2*5 = 10
For fifty's pattern = 2*50 = 100 dots
b) The gereal term shall be n + 4
Hence the fifth term shall be 5 + 4 = 9
For fifty's pattern = 50 +4 = 54 dots
c) Clearly the general term shall be 2 (n -1 )
Hence for ffth term the solution shall be 2 * (5 - 1) = 8 dots
For fifty's pattern = 2*(50 - 1) = 98 dots
Solution
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