(B) The given $A.P.$ is $5, 9, 13, \ldots, 101$.Here,the first term $a = 5$ and the common difference $d = 9 - 5 = 4$.The last term $l = 101$.To find

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(B) The given $A.P.$ is $5, 9, 13, \ldots, 101$.Here,the first term $a = 5$ and the common difference $d = 9 - 5 = 4$.The last term $l = 101$.To find the $n^{th}$ term from the end,the formula is $l - (n - 1)d$.Here,$n = 9$,$l = 101$,and $d = 4$.Substituting these values: $101 - (9 - 1) \times 4 = 101 - 8 \times 4 = 101 - 32 = 69$.Therefore,the $9^{th}$ term from the end is $69$.

Class 10 Mathematics Arithmetic Progressions Mix Examples - Arithmetic Progressions

Easy

For the finite $A.P.$ $5, 9, 13, \ldots, 101$,find the $9^{th}$ term from the end.

A
$70$
B
$69$
C
$75$
D
$55$

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Arithmetic Progressions

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Mix Examples - Arithmetic Progressions

$Rs. 280$ is to be distributed among four prizes. If the prize amount in each successive prize reduces by $Rs. 20$,find the amounts paid in those prizes.

Easy

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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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Find the sum of the multiples of $3$ lying between $250$ and $1000$.

Difficult

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Find the sum of the integers between $100$ and $200$ that are not divisible by $9$.

Difficult

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For a finite $A.P.$,the first term is $2$ and the last term is $50$. If the sum of all the terms is $442$,find the common difference $d$.

Medium

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For the finite $A.P.$ $5, 9, 13, \ldots, 101$,find the $9^{th}$ term from the end.

Similar Questions

$Rs. 280$ is to be distributed among four prizes. If the prize amount in each successive prize reduces by $Rs. 20$,find the amounts paid in those prizes.

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 $A.P.$

Find the sum of the multiples of $3$ lying between $250$ and $1000$.

Find the sum of the integers between $100$ and $200$ that are not divisible by $9$.

For a finite $A.P.$,the first term is $2$ and the last term is $50$. If the sum of all the terms is $442$,find the common difference $d$.

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