(A) The general formula for the $n^{th}$ term of an Arithmetic Progression $(A.P.)$ is given by $a_n = a + (n - 1)d$,where $a$ is the first term,$d$ i

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(A) The general formula for the $n^{th}$ term of an Arithmetic Progression $(A.P.)$ is given by $a_n = a + (n - 1)d$,where $a$ is the first term,$d$ is the common difference,and $n$ is the term number.To find the tenth term $(n = 10)$,substitute the value of $n$ into the formula:$a_{10} = a + (10 - 1)d$$a_{10} = a + 9d$Therefore,the tenth term is $a + 9d$.

Class 10 Mathematics Arithmetic Progressions Mix Examples - Arithmetic Progressions

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The tenth term of the $A.P.$ with first term $a$ and common difference $d$ is.....

A
$a+9d$
B
$a+10d$
C
$10a$
D
$10d$

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Class 10

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Arithmetic Progressions

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Mix Examples - Arithmetic Progressions

The $n^{th}$ term of an $A.P.$ is given by $T_{n} = 7 - 3n$. Find the sum of the first $25$ terms of the $A.P.$

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Justify whether it is true to say that $-1, -\frac{3}{2}, -2, \frac{5}{2}, \ldots$ forms an $AP$ as $a_{2}-a_{1} = a_{3}-a_{2}$.

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The sum of the first $n$ terms of an $A.P.$ is given by $S_{n} = \frac{3n^{2}}{2} + \frac{5n}{2}$. Find the $25^{th}$ term of the $A.P.$

Medium

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Can any term of the $A.P.$ $14, 18, 22, \ldots$ be $142$? If yes,which term?

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For an $A.P.$,$T_{n} = \ldots \ldots \ldots \ldots (n > 1)$

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The tenth term of the $A.P.$ with first term $a$ and common difference $d$ is.....

Similar Questions

The $n^{th}$ term of an $A.P.$ is given by $T_{n} = 7 - 3n$. Find the sum of the first $25$ terms of the $A.P.$

Justify whether it is true to say that $-1, -\frac{3}{2}, -2, \frac{5}{2}, \ldots$ forms an $AP$ as $a_{2}-a_{1} = a_{3}-a_{2}$.

The sum of the first $n$ terms of an $A.P.$ is given by $S_{n} = \frac{3n^{2}}{2} + \frac{5n}{2}$. Find the $25^{th}$ term of the $A.P.$

Can any term of the $A.P.$ $14, 18, 22, \ldots$ be $142$? If yes,which term?

For an $A.P.$,$T_{n} = \ldots \ldots \ldots \ldots (n > 1)$

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