15. A certain barangay in the City of Antipolo had 25 cases of COVID-19 reported on the first day of the month, 36 on the second day, 47 on the third day and 58 on the fourth day. If the COVID-19 cases grow in the same pattern, how many cases will be reported in the 10th day? * 1 point C. 135 D. 100 A. 103 B. 124
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Answer:
124
Step-by-step explanation:
List the given data
25,36,47,58
You can notice that this sequence is arithmetic because it has a common difference of 11.
25+11=36
36+11=47
47+11=58
...
To find the number cases in the 10th day. Use the formula of arithmetic sequence in finding the nth term.
a_n = a_1 + (n-1) d
Where:
a_n = is the value of the nth term need to be solved
a_1 = first term
n = nth place
d = common difference
Given:
a_1 = 25
n = 10
d = 11
Solution:
a_n = a_1 + (n-1) d
a_10 = 25 + (10-1) 11
a_10 = 25 + (9) 11
a_10 = 25 + 99
a_10 = 124
Therefore, the final answer is 124.