(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 Questions

Class 10

Mathematics Questions

Chapter

Arithmetic Progressions

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Mix Examples - Arithmetic Progressions

Find the sum of the two middle most terms of the $AP: -\frac{4}{3}, -1, -\frac{2}{3}, \ldots, 4 \frac{1}{3}$.

Difficult

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For a given $A.P.$,$S_{n} = 5n^{2} + 8n$. Hence $T_{n} = \ldots \ldots \ldots \ldots$

Difficult

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For an $A.P.$,the $7^{th}$ term is $-1$ and the $16^{th}$ term is $17$. Find the general term of the $A.P.$

Easy

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The sum of the first $n$ terms of the $A.P.$ $2, 7, 12, 17, \ldots$ is $990$. Find the value of $n$.

Medium

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The measures of all the four angles of a quadrilateral form an $A.P.$. If the common difference is $10^{\circ}$,find the measures of all the angles.

Difficult

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

Similar Questions

Find the sum of the two middle most terms of the $AP: -\frac{4}{3}, -1, -\frac{2}{3}, \ldots, 4 \frac{1}{3}$.

For a given $A.P.$,$S_{n} = 5n^{2} + 8n$. Hence $T_{n} = \ldots \ldots \ldots \ldots$

For an $A.P.$,the $7^{th}$ term is $-1$ and the $16^{th}$ term is $17$. Find the general term of the $A.P.$

The sum of the first $n$ terms of the $A.P.$ $2, 7, 12, 17, \ldots$ is $990$. Find the value of $n$.

The measures of all the four angles of a quadrilateral form an $A.P.$. If the common difference is $10^{\circ}$,find the measures of all the angles.

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