Question

22. Ramkali required Rs 2,500 after 12 weeks to send her daughter to school. She saved Rs
100 in the first week and increased her weekly savings by Rs 20 every week. Find
whether she will be able to send her daughter to school after 12 weeks.
What value is generated in the above situation?
2 Colofory.​

Answer 1

SOLUTION :

First saving = 100

second saving =120

third saving = 140

clearly this is an A.P. series with a=100,

d=20

we are to find the sum of 12 terms of this series

so,

sum =( n/2)*(2*a+(n-1)*d)

sum=(12/2)*(2*100+(12-1)*20)

sum=6*(200+11*20)

sum=6*(200+220)

sum=6*420

sum=2520

so she would be able to save Rs. 2520 in 12 months and therefore will be able to send her daughter to school

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

As given his savings are 100+120+140+................+320 is an AP

So

a1=100 , d=a2-a1=120-100=20 , n=12

Sum of series will be

Sn=n/2[2a1+(n-1)d]

Sn=12/2[2*100+(12-1)20]

Sn=6[200+220]

Sn=6[420]=2520 rupees it means yes she will be able to collect Rs. 2500.