Question

AP has 41 terms. The sum of the three middle term is 237 and the sum of the last three term is 465. Write the progression

Answer 1

A. P. : –1 , 3 , 7 , 11 . . . . . . 159

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Answer 2

Answer:

Step-by-step explanation:

AP will be

-1, 3,7,11,15,19,.......159

Let the 3 middle terms are x-d,x,x+d then

(x-d)+x+(x+d) = 237

3x=237

x=79

Now last three terms will be as follows

(79+20d)+(79+19d)+(79+18d)=465

237+57d=465

57d=228

d=4

So the last term is 79+20×4=159

Now let 1st term is A then

A+(41-1)×4=159

A+160=159

A=-1

So the AP is -1,-1+4,-1+8...

AP is -1,3,7,11,15.......159