There are 10 boxes on a table.Ramu places 4 marbles in 1st box,7 marbles,10 marbles in 3rd box and so on .Find the total number of marbles placed in all the boxes
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Here he puts 4 marbles in first box and he increased 3 marbles in each box. So, here the AP is formed = 4,7,10, ........
First term= a = 4
Common difference = d =3
No. of terms = n = 10
We have to find sum of of an AP or we can say total no. of marble in ten box .
Sn = n/2 [ 2a + ( n - 1 ) d ]
= 10/2 [ 2×4+ ( 10 - 1 ) 3 ]
= 5 [ 8 + (9) 3 ]
= 5 [ 8 + 18 ]
= 5 [ 26 ]
= 130
Answer = 130 marbles
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