Answer: c) {1,245; 1,224; 1,203; 1,182; …}
Step-by-step explanation:
<u>Concept:</u>
For this question, we just go by eliminating each answer until we get the correct one
<u>Given information</u>
Common difference = -21 (decreasing sequence)
<u>Answer Choice: a) {873, 894, 915, 936, …}</u>
894 - 873 = <u>21</u>
915 - 895 = <u>21</u>
936 - 915 = <u>21</u>
Since the common difference is 21, not -21
<u>Answer Choice: b) {32, 20, 8, -4, …}</u>
20 - 32 = <u>-12</u>
8 - 20 = <u>-12</u>
-4 - 8 = <u>-12</u>
Since the common difference is -8, not -21
<u>Answer Choice: c) {1,245; 1,224; 1,203; 1,182; …}</u>
1224 - 1245 = -<u>21</u>
1203 - 1224 = <u>-21</u>
1182 - 1203 = <u>-21</u>
Since the common difference is -21
<u>Answer Choice: d) {1,563; 1,587; 1,611; 1,635; …}</u>
1587 - 1563 = <u>24</u>
1611 - 1587 = <u>24</u>
1635 - 1611 = <u>24</u>
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Since the common difference is 24, not -21
Hope this helps!! :)
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