(C) Given: First term $a = 5$,common difference $d = 5$,and last term $l = T_n = 95$.Using the formula for the $n^{th}$ term of an $A.P.$: $T_n = a +

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(C) Given: First term $a = 5$,common difference $d = 5$,and last term $l = T_n = 95$.Using the formula for the $n^{th}$ term of an $A.P.$: $T_n = a + (n - 1)d$.Substituting the given values: $95 = 5 + (n - 1)5$.Subtracting $5$ from both sides: $90 = (n - 1)5$.Dividing by $5$: $18 = n - 1$.Adding $1$ to both sides: $n = 19$.Therefore,there are $19$ terms in the $A.P.$

Class 10 Mathematics Arithmetic Progressions Mix Examples - Arithmetic Progressions

Medium

The first term of a finite $A.P.$ is $5$ and its last term is $95$. If the common difference of the $A.P.$ is $5$,then there are $\ldots \ldots \ldots$ terms in the $A.P.$

A
$20$
B
$15$
C
$19$
D
$25$

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Arithmetic Progressions

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Mix Examples - Arithmetic Progressions

For an $A.P.$,the first term is $10$ and the $10^{th}$ term is $100$. Then,the sum of the first $10$ terms is..........

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For a given $A.P.$,the first term is $-4$ and the common difference is $-5$. Then,the $12^{th}$ term of the $A.P.$ is $\ldots \ldots \ldots$.

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The $\ldots \ldots \ldots \ldots$th term of the $A.P.$ $8, 11, 14, 17, \ldots$ is $272$.

Medium

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Find the $45^{th}$ term of the $A.P.$ $13, 8, 3, -2, \ldots$

Medium

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For a given $A.P.$,$a=2$ and $d=3$. Then,$S_{30} = \dots$

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The first term of a finite $A.P.$ is $5$ and its last term is $95$. If the common difference of the $A.P.$ is $5$,then there are $\ldots \ldots \ldots$ terms in the $A.P.$

Similar Questions

For an $A.P.$,the first term is $10$ and the $10^{th}$ term is $100$. Then,the sum of the first $10$ terms is..........

For a given $A.P.$,the first term is $-4$ and the common difference is $-5$. Then,the $12^{th}$ term of the $A.P.$ is $\ldots \ldots \ldots$.

The $\ldots \ldots \ldots \ldots$th term of the $A.P.$ $8, 11, 14, 17, \ldots$ is $272$.

Find the $45^{th}$ term of the $A.P.$ $13, 8, 3, -2, \ldots$

For a given $A.P.$,$a=2$ and $d=3$. Then,$S_{30} = \dots$

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