Asalesperson 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.

16,41,66,91,116,141,166,191,216,241,266,291,316,341,366,391,416,441,466,491

Step-by-step explanation:

The numbers that corresponds to 20 clients can be selected through systematic sampling. The samples selected through systematic sampling starting from i and then every kth unit is selected i.e. i,i+k,i+2k,...,i+(n-1)k

Sr.no Samples

1.        16

2.       16+25=41

3.       16+2*25=66

4.       16+3*25=91

5.       16+4*25=116

6.       16+5*25=141

7.       16+6*25=166

8        16+7*25=191

9.       16+8*25=216

10.      16+9*25=241

11.       16+10*25=266

12.      16+11*25=291

13.      16+12*25=316

14.      16+13*25=341

15.      16+14*25=366

16.      16+15*25=391

17.      16+16*25=416

18.      16+17*25=441

19.      16+18*25=466

20.     16+19*25=491

The numbers correspond to 20 clients selected are 16,41,66,91,116,141,166,191,216,241,266,291,316,341,366,391,416,441,466,491.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

thats not a system of equations, that is a solution