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Hi guys in this tutorial we'll be discussing the max model question paper for the Year 2015 this model question paper is taken from official Karnataka website that is being mentioned here there are plenty of questions in this question paper will go one by one so right now we will take the first one, so this is the first question in the model question paper that says if the third term of the geometric progression is 2 then the product of its first 5 terms is what so there are 4 different answers this is the object of type question paper a question so do you have any guess on what is the answer is yeah before we guess let's look into the solution so what are they saying they're saying that the third term of the geometric progression is true, and we need to find the product of first 5 terms so when we say a third term is basically an R square right or an R to the power 2 before we go into the solving the problem first what we need to do is get the formula so basically the N term is equal an R to the power n minus 1 here in the question n is 3 the order Sheng is a third term of n is 3 so T 3 equals an R square which is equals to 2 so this 2 is equals to an R square next what do we have to find we have to find the product of first five terms so basically one two three four five there are five terms here first term is always a, and then it gets multiplied by R where R is the ratio right so let's try to multiply this when we multiply what do we get so basically what we get is a power five to our power 10 so if I can simplify this or if I can make this answer that actually get resemble with a square then I can actually find I can actually substitute this a square with two and get the answer, so that's what I am doing here so what I do is I take five common, and then I represent an R square or the whole equation with respect to an R square right, so I know the value for a square that is 2, so I substitute it with 2, and I get the answer to power 5 so if you look into the question or same thing so basically to power 5 is the answer hope you got this if you do not get my explanation please leave a comment below so that I can try to explain you better next tutorial will have the second question of max model cost method thank you for watching
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