Arithmetic Series Worksheet Solution8

In the page arithmetic series worksheet solution8 you are going to see solution of each questions from the arithmetic series worksheet.

(20) A gardener plans to construct a trapezoidal shaped structure in his garden. The longer side of trapezoid needs to start with a row of 97 bricks. Each row must be decreased by 2 bricks on each end  and the construction should stop at 25th row. How many bricks does he need to buy?


The longer side of trapezoid shaped garden is containing 97 and each row must be decreased by 2 on each end and the construction must stop when it reaches the 25th row.

If we write the number of bricks in each row as sequence we will get 97,93,89,............

Now we nee to find number of bricks needed to buy. For that we have to make it as series and we have to find for 25 terms of the series.

 Sn = (n/2) [2a+(n-1)d]

a = 97  d = 93-97   n = 25

             = -4

 S25 = (25/2) [2(97) + (25-1) (-4)]

     = (25/2) [194 + (24) (-4)]

     = (25/2) [194 - 96]

     = (25/2) (98)

     = 25 x 49

     = 1225 bricks

These are the contents in the page arithmetic series worksheet solution8.  
arithmetic series worksheet solution8

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“Mathematics, without this we can do nothing in our life. Each and everything around us is math.

Math is not only solving problems and finding solutions and it is also doing many things in our day to day life.  They are: 

It subtracts sadness and adds happiness in our life.    

It divides sorrow and multiplies forgiveness and love.

Some people would not be able accept that the subject Math is easy to understand. That is because; they are unable to realize how the life is complicated. The problems in the subject Math are easier to solve than the problems in our real life. When we people are able to solve all the problems in the complicated life, why can we not solve the simple math problems?

Many people think that the subject math is always complicated and it exists to make things from simple to complicate. But the real existence of the subject math is to make things from complicate to simple.”