Let A (a$$, $$b) be a fixed point and O be the origin of coordinates, If $$A1$$ is the $$mid-point$$ of OA, $$A2$$ is the $$mid-point$$ of $$-$$.$$A1$$, $$A3$$ is the $$mid-point$$ of $$AA2$$ and so on. Then the coordinates of $$A1$$ are

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Let A (a$$, $$b) be a fixed point and O be the origin of  coordinates, If $$A1$$ is the $$mid-point$$ of OA, $$A2$$ is the $$mid-point$$ of $$-$$.$$A1$$, $$A3$$ is the $$mid-point$$ of $$AA2$$ and so on. Then the coordinates of $$A1$$  are

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The coordinates of $$A1$$ are $$a2$$,$$b2the$$ coordinates of $$A2$$ are $$a+a22$$,$$b+b22=a2+a22$$,$$b2+b22the$$ coordinates of $$A3$$ are $$a+a2+a222$$,$$b+b2+b222=a2+a22+a23$$,$$b2+b22+b23Continuing$$ in this manner we observe that the coordinates of $$A1$$ $$area2+a22+a23+$$……$$+a2n$$,$$b2+b22+b23+$$….$$+b2n=a1$$−$$12n$$,$$b1$$−$$12n=a1$$−$$2$$−n,$$b1$$−$$2$$−n

Let $A (a, b)$ be a fixed point and $O$ be the origin of coordinates, If $A_{1}$ is the mid-point of $O A, A_{2}$ is the mid-point of -. $A_{1}, A_{3}$ is the mid-point of $A A_{2}$ and so on. Then the coordinates of $A_{1}$ are

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Let A (a, b) be a fixed point and O be the origin of coordinates, If A1 is the mid-point of OA, A2 is the mid-point of -.A1, A3 is the mid-point of AA2 and so on. Then the coordinates of A1 are

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Ready to Test Your Skills?

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Let $A (a, b)$ be a fixed point and $O$ be the origin of coordinates, If $A_{1}$ is the mid-point of $O A, A_{2}$ is the mid-point of -. $A_{1}, A_{3}$ is the mid-point of $A A_{2}$ and so on. Then the coordinates of $A_{1}$ are