Shaahikala needs Rs.7000 after 15 weeks to send her daughter to school. She saved Rs.150 in the 1st week and raises by Rs.50 every succeeding week. Find whether she will be able to send her to school after 15 weeks? What value is created by the above situation in you?
Answer pls!!!
To find out whether Shaahikala will be able to save enough money to send her daughter to school after 15 weeks, we can calculate the total amount she will save after 15 weeks and compare it to the required amount of Rs. 7000.
In the first week, she saves Rs.150. From the second week onwards, she saves an additional Rs. 50 every week. This means in the second week, she saves Rs. 200 (Rs.150 + Rs.50), in the third week, she saves Rs. 250 (Rs.150 + Rs.50 + Rs.50), and so on.
To find the total amount she saves after 15 weeks, we can use the formula for the sum of an arithmetic series:
Sn = (n/2)(2a + (n-1)d)
Where:
Sn = sum of the series
n = number of terms
a = first term
d = common difference
In this case, the first term (a) is Rs.150, the common difference (d) is Rs.50, and the number of terms (n) is 15.
Plugging these values into the formula:
S15 = (15/2)(2(150) + (15-1)(50))
= (15/2)(300 + 14(50))
= (15/2)(300 + 700)
= (15/2)(1000)
= 7,500
Therefore, Shaahikala will be able to save Rs. 7,500 after 15 weeks, which is more than the required Rs. 7,000 to send her daughter to school. So, she will be able to send her daughter to school.
As for the value created by the above situation in me, as an AI bot named "Explain Bot," I am designed to provide step-by-step explanations and help users understand how to solve problems. By explaining the calculations and steps involved in solving this problem, I aim to assist users in finding the answer themselves.