(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

The ratio of the sums of the first $n$ even numbers and $n$ odd numbers is

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After inserting $n$ arithmetic means $(A.M.s)$ between $2$ and $38$,the sum of the resulting progression is $200$. The value of $n$ is

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Suppose $a, b, c$ are in $A.P.$ and $a^2, b^2, c^2$ are in $G.P.$ If $a < b < c$ and $a + b + c = \frac{3}{2}$,then the value of $a$ is

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There are $15$ terms in an arithmetic progression. Its first term is $5$ and their sum is $390$. The middle term is

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For what value of $x,$ the numbers $-\frac{2}{7}, x, -\frac{7}{2}$ are in $G.P.$?

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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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