(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 the $A.P.$ formed by positive multiples of $4$,$d = \ldots \ldots \ldots \ldots .$

Easy

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Which term of the $A.P.$ $53, 48, 43, \ldots$ is its first negative term? Find that term.

Medium

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If $7$ times the $7^{\text{th}}$ term of an $AP$ is equal to $11$ times its $11^{\text{th}}$ term,then its $18^{\text{th}}$ term will be

Medium

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Which term of the $A.P.$ $83, 77, 71, \ldots$ is its first negative term (in $^{th}$)?

Easy

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Which term of the $A.P.$ $20, 19 \frac{1}{4}, 18 \frac{1}{2}, 17 \frac{3}{4}, \ldots$ is its first negative term (in $^{th}$)?

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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 the $A.P.$ formed by positive multiples of $4$,$d = \ldots \ldots \ldots \ldots .$

Which term of the $A.P.$ $53, 48, 43, \ldots$ is its first negative term? Find that term.

If $7$ times the $7^{\text{th}}$ term of an $AP$ is equal to $11$ times its $11^{\text{th}}$ term,then its $18^{\text{th}}$ term will be

Which term of the $A.P.$ $83, 77, 71, \ldots$ is its first negative term (in $^{th}$)?

Which term of the $A.P.$ $20, 19 \frac{1}{4}, 18 \frac{1}{2}, 17 \frac{3}{4}, \ldots$ is its first negative term (in $^{th}$)?

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