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Andrew [12]
2 years ago
14

Pages in a book are numbered from 1 to 1001. How many of these page numbers include the digit 7?

Mathematics
2 answers:
Pie2 years ago
6 0

Answer:

100

Step-by-step explanation:

one digit number=7 (1 page)

two digit numbers=17,27,37,47,67,77,87,97(9)

three digit numbers=

107,117,127,137,147,157,167,177,187,197 (10)

207,217,.................................,277,287,297 (10)

307,317,..................................,377,387,397 (10)

404,..........................................477,487,497 (10)

507,...................................................................(10)

607,....................................................................(10)

707,717,727,737,747,757,767,777,787,797 (10)

807,..............................................................,897 (10)

907,..............................................................,997 (10)

total number of pages=1+9+9(10)=10+90=100

Brilliant_brown [7]2 years ago
6 0

Answer:

Hello :)

Step-by-step explanation:

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Step-by-step explanation:

<em>use </em><em>the </em><em>formula</em><em> for</em><em> </em><em>the</em><em> </em><em>nth </em><em>term </em><em>of </em><em>an </em><em>ap </em><em>Tn=</em><em>a+</em><em>(</em><em>n-1)</em><em>d</em>

<em>T12=</em><em>1</em><em>0</em><em>.</em><em>5</em>

<em>T18=</em><em>1</em><em>3</em><em>.</em><em>5</em>

<em>therefore</em><em> </em><em>come </em><em>up </em><em>with </em><em>two </em><em>equations</em>

<em>T12=</em><em>a+</em><em>(</em><em>1</em><em>2</em><em>-</em><em>1</em><em>)</em><em>d</em>

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<em>T18</em><em>=</em><em>a+</em><em>(</em><em>1</em><em>8</em><em>-</em><em>1</em><em>)</em><em>d</em>

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Step-by-step explanation:

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