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Two arithmetic sequences A and B both begin with 30 and have common differences of absolute value 10, with sequence A increasing and sequence B decreasing. What is the absolute value of the difference between the 57nd term of sequence A and the 57nd term of sequence B?

 Apr 15, 2021
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57th  term  of  increasing   sequence   =  30  + 10 ( 57 - 1)  =  590

 

57th  term  of  decreasing  sequence  = 30  - 10(57 - 1)  =  -530

 

Difference  between 57th terms   =   590 -   (- 530 )     =   1120

 

 

cool cool cool

 Apr 15, 2021

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