Question

The sum of first three terms is 45.If their product of first and third term is 200.Find the numbers?

Answer 1

Step-by-step explanation:

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Answer 2

The three numbers are 10, 15 and 20

Explanation:

Given that the sum of the first three terms is 45.

Also, given that the product of the first and third term is 200.

To find the three numbers.

Let the three numbers be $a-b,a,a+b$

Sum of the three terms is 45

Thus, we have,

$a-b+a+a+b=45$

                      $3a=45$

                        $a=15$

Thus, the value of a is 15

Product of the first and third term is 200.

Thus, we have,

$(a-b)(a+b)=200$

         $a^2-b^2=200$

        $15^2-b^2=200$

       $225-b^2=200$

                 $b^2=25$

                  $b=5$

Thus, the value of b is 5.

Substituting the value of a and b in $a-b,a,a+b$, we get,

$15-5 , \ 15, \ 15+5$

Simplifying, we have,

$10,15,20$

Thus, the three numbers are 10,15,20

Learn more:

(1) The sum of first three terms of an ap is 45 if the product of first and third term exceeds the second term by 41 find date

brainly.in/question/8501477

(2) If the sum of three consecutive terms of an increasing A.P. is 51 and theproduct of first and third terms is 273, find the third term

brainly.in/question/3484