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PART - 1 CH : 4 Expressions using Letter Numbers — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSPART - 1 CH : 4 Expressions using Letter Numbers5 Marks
Question
Study the given patterns and complete the table that follows :
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Answer

(a)It can be observed from the given figures that 2 matchsticks are fixed and 3 matchsticks are added at each step. The general term for the number of matchsticks in a figure will be 3n + 2.
The complete table is
Number of figures formed 1 2 3 4 25 n
Number of matchsticks 5 8 11 14 77 3n+2

(b)By observing the matchsticks pattern, the general term for the number of matchsticks will be 7n + 1.
Number of figures formed 1 2 3 4 25 50 n
Number of matchsticks 8 15 22 29 176 351 7n+1

(c)By observing the matchsticks pattern, the genera term for the number of matchsticks will be 3n + 2.
Number of figures formed 1 2 3 4 25 100 n
Number of matchsticks 5 8 11 14 77 302 3n+2

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