Use the given algebraic expression to complete the table of number patterns.
If the number of digits formed is taken to be , the number of segments needed to form n digits is given by the algebraic expression appearing on the right of each pattern.
How many segments are needed to form digits of the kind
(a) From the given details we get to know that the numbers of segments needed to form digits of the kind.
is
Then,
The number of segments needed to form digits
The number of segments needed to form digits
The number of segments needed to form digits
(b) From the given details we get to know that the numbers of segments needed to form digits of the kind
is
Then,
The number of segments needed to form digits
The number of segments needed to form 10 digits
The number of segments needed to form 100 digits
(c) From the given details we get to know that the numbers of segments needed to form digits of the kind
is
Then,
The number of segments needed to form digits
The number of segments needed to form 10 digits
The number of segments needed to form 100 digits
Hence, Number of segments that are needed to form digits of the kind are .
Number of segments that are needed to form digits of the kind are .
Number of segments that are needed to form digits of the kind are .