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If the number of digits formed is taken to be n, the number of segments required to form n digits is given by the algebraic expression appearing on the right of each pattern. How many segments are required to form 5, 10, 100 digits of the kind

Answer :

(a) The number of line segments required to form
n digits is given by the expressions.
= 5n+1

For figures, the number of line segments = 5 × 5 + 1 = 25 + 1 = 26

For figures, the number of line segments = 5 × 10 + 1
= 50 + 1 = 51

For figures, the number of line segments = 5 × 100 + 1
= 500 + 1 = 501

(a) For figures, the number of line segments =3 ×5 + 1
= 15 + 1 = 16

For figures, the number of line segments = 3 × 10 + 1
= 30 + 1 = 31

For figures, the number of line segments = 3 × 100 + 1
= 300 + 1 = 301

(c) For 5 figures, the number of line numbers = 5 × 5 + 2
= 25 + 2 = 27

For 10 figures, the number of line segments = 5 × 10 + 2
= 50 + 2 = 52

For 100 figures, the number of line segments = 5 × 100 + 2
= 500 + 2 = 502

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