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How many integers belong to the arithmetic sequence 13, 20, 27, 34, $\dots$, 97?

 Jan 13, 2024

Best Answer 

 #1
avatar+290 
+1

We are adding by 7 for each progressive term, so we can subtract 97 by 13 and divide the amount by 7 and after add 1 because we have to count the first term as well to get the amount of integers.

 

[(97 - 13) / 7] + 1

 

(84 / 7) + 1

 

12 + 1

 

13

 

Answer: 13

 Jan 13, 2024
 #1
avatar+290 
+1
Best Answer

We are adding by 7 for each progressive term, so we can subtract 97 by 13 and divide the amount by 7 and after add 1 because we have to count the first term as well to get the amount of integers.

 

[(97 - 13) / 7] + 1

 

(84 / 7) + 1

 

12 + 1

 

13

 

Answer: 13

DS2011 Jan 13, 2024
 #2
avatar+129850 
0

Very nice, DS2011  !!!!

 

 

cool cool cool

CPhill  Jan 13, 2024

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