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Assertion [A]: Sum of the first hundred even natural numbers divisible by 5 is 45050.
Reason (R): Sum of the first n-terms of an Arithmetic Progression is given by $$S=(n/2)*(a+l)$$ where a=first term, l=last term.
Choose the correct answer from the options given below.
Assertion [A]:-
First 100 even natural numbers that are divisible by 5 are - {10,20,30,......,1000}
$$Sum=\dfrac{n}{2}\left[a+l\right]$$
$$Sum=\dfrac{100}{2}\left[10+1000\right]$$
$$Sum=50\times1010$$
$$Sum=50500$$
Thus, Assertion [A] is FALSE.
Sum of the first n-terms of an Arithmetic Progression is given by $$S=(n/2)*(a+l)$$ where a=first term, l=last term.
This is TRUE, as this is the actual formula for the sum of n terms.
Thus, Reason (R) is TRUE.