Question

a village was
supplied water through pipelines every third day the water was first day supplied on 1st January the last was applied on 31st January how many times water was supplied in the month of January ​

Answer 1

Answer:

11 times

Step-by-step explanation:

So first time was on first jan so next will be on 4 jan.

continuing this trend it will be as 7 then 10,13,16,19,22,25,28,31, thus 11 times in the month of jan

Answer 2

Water was supplied 11 days in the month of January.

• Given that a village was supplied water through pipelines every third day.
• The water was first supplied on 1st of January and the last on 31st January.
• The resulting days of the month are in AP.
• The series of AP has first term (a) = 1 and common difference(d) = 3.
• and last term ($t_n$) = 31.
• We have to find the number of terms that is the number of days in the month on which the village was supplied water.
• We have to formula to find the number of terms in the AP.

$t_n = a + (n-1)d$

• We know $t_n$ = 31 a=1 and d=3, we have to find n.

31 = 1 + (n-1)3

30 = (n-1)3

n-1 = 10

n = 11

• The number of days which the village was supplied with water is 11 in January.