The first term of a finite A.P. is 5 and its | vedclass

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(B) The formula for the sum of $n$ terms of an $A.P.$ when the first term $a$ and the last term $l$ are known is given by:$S_n = \frac{n}{2}(a + l)$Gi

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$20$

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(B) The formula for the sum of $n$ terms of an $A.P.$ when the first term $a$ and the last term $l$ are known is given by:$S_n = \frac{n}{2}(a + l)$Given:First term $a = 5$Last term $l = 45$Sum of terms $S_n = 500$Substituting the values into the formula:$500 = \frac{n}{2}(5 + 45)$$500 = \frac{n}{2}(50)$$500 = 25n$$n = \frac{500}{25}$$n = 20$Therefore,there are $20$ terms in the $A.P.$

The first term of a finite $A.P.$ is $5$ and its last term is $45$. If the sum of all the terms is $500$,there are $\ldots$ terms in the $A.P.$

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