(C) Given that the first term $a = 10$,the last term $l = 50$,and the sum of terms $S = 300$.The formula for the sum of an $A.P.$ when the first and l

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(C) Given that the first term $a = 10$,the last term $l = 50$,and the sum of terms $S = 300$.The formula for the sum of an $A.P.$ when the first and last terms are known is $S = \frac{n}{2}(a + l)$.Substituting the given values into the formula:$300 = \frac{n}{2}(10 + 50)$$300 = \frac{n}{2}(60)$$300 = n \times 30$$n = \frac{300}{30} = 10$.Therefore,the number of terms is $10$.

Competitive Quantitative Aptitude Progression and Sequence Progression and Sequence

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If the first term of an $A.P.$ is $10$,the last term is $50$,and the sum of all the terms is $300$,then the number of terms is:

A
$5$
B
$8$
C
$10$
D
$15$

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Progression and Sequence

If $3 + 3\alpha + 3{\alpha ^2} + \dots \infty = \frac{45}{8}$,then the value of $\alpha$ will be

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If the first term of an $A.P.$ is $10$,the last term is $50$,and the sum of all the terms is $300$,then the number of terms is:

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