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A salesperson obtained a systematic sample of size 20 from a list of 500 clients. to do​ so, he randomly selected a number from 1 to 25​, obtaining the number 16. he included in the sample the 16th client on the list and every 25th client thereafter. list the numbers that correspond to the 20 clients selected.

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frika
This is an arithmetical sequence.
First term is [tex]a_1=16[/tex] (the number of first client), the difference is [tex]d=25[/tex] (because every 25th client was selected) and n=20 (20 clients were selected).
Then,
[tex]a_2=16+25=41[/tex]
[tex]a_3=41+25=66[/tex]
[tex]a_4=66+25=91[/tex]
[tex]a_5=91+25=116[/tex]
[tex]a_6=116+25=141[/tex]
[tex]a_7=141+25=166[/tex]
[tex]a_8=166+25=191[/tex]
[tex]a_9=191+25=216[/tex]
[tex]a_{10}=216+25=241[/tex]
[tex]a_{11}=241+25=266[/tex]
[tex]a_{12}=266+25=291[/tex]
[tex]a_{13}=291+25=316[/tex]
[tex]a_{14}=316+25=341[/tex]
[tex]a_{15}=341+25=366[/tex]
[tex]a_{16}=366+25=391[/tex]
[tex]a_{17}=391+25=416[/tex]
[tex]a_{18}=416+25=441[/tex]
[tex]a_{19}=441+25=466[/tex]
[tex]a_{20}=466+25=491[/tex]










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