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What is the 75th term in the arithmetic sequence -13, -9, -5, -1,... ?

 

An arithmetic sequence 2,5,8,11,14 is written in order in a book, one hundred numbers per page, beginning on page one. On which page will the number 11,111 appear?

 

Does anyone know how to solve these problem?

Thanks for the help!
 

 Jan 27, 2020
 #1
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What is the 75th term in the arithmetic sequence -13, -9, -5, -1,... ?

 

Use the nth formula to solve for 75th term:

75th term = -13  +  4 *(75 - 1)

                   = -13  +  4 * 74

                   = -13  +  296

                   = 283 - the 75th term

 

 

An arithmetic sequence 2,5,8,11,14 is written in order in a book, one hundred numbers per page, beginning on page one. On which page will the number 11,111 appear?

 

[11,111 - 2] / 3  + 1 =3,704 terms

3,700 / 100 = 37th page will end in 11,099. 

The 38th page will begin with:  11,102, 11,105, 11,108, 11,111.

 Jan 27, 2020

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