(D) The given $A.P.$ is $2, 7, 12, 17, \ldots$Here,the first term $a = 2$.The common difference $d = 7 - 2 = 5$.The formula for the $n^{th}$ term of a

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(D) The given $A.P.$ is $2, 7, 12, 17, \ldots$Here,the first term $a = 2$.The common difference $d = 7 - 2 = 5$.The formula for the $n^{th}$ term of an $A.P.$ is $T_n = a + (n - 1)d$.Substituting the values,we get $T_n = 2 + (n - 1)5$.$T_n = 2 + 5n - 5$.$T_n = 5n - 3$.

Class 10 Mathematics Arithmetic Progressions Mix Examples - Arithmetic Progressions

Medium

The $n^{th}$ term of the $A.P.$ $2, 7, 12, 17, \ldots$ is ..........

A
$5n$
B
$5n+3$
C
$n$
D
$5n-3$

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Class 10

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Arithmetic Progressions

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Mix Examples - Arithmetic Progressions

For the $A.P.$ $3, 13, 23, 33, \ldots,$ its $\ldots \ldots \ldots \ldots$ term exceeds its $21^{st}$ term by $10.$

Medium

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For the $A.P.$ $3, 8, 13, 18, \ldots$,$T_{n} = \ldots$

Medium

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Determine the $AP$ whose fifth term is $19$ and the difference of the eighth term from the thirteenth term is $20$.

Medium

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Find the $12^{\text{th}}$ term from the end of the $AP: -2, -4, -6, \ldots, -100$.

Medium

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The $n^{th}$ term of an $A.P.$ is given by $T_{n} = -4n + 15$. Find the $15^{th}$ term and the common difference of the $A.P.$

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The $n^{th}$ term of the $A.P.$ $2, 7, 12, 17, \ldots$ is ..........

Similar Questions

For the $A.P.$ $3, 13, 23, 33, \ldots,$ its $\ldots \ldots \ldots \ldots$ term exceeds its $21^{st}$ term by $10.$

For the $A.P.$ $3, 8, 13, 18, \ldots$,$T_{n} = \ldots$

Determine the $AP$ whose fifth term is $19$ and the difference of the eighth term from the thirteenth term is $20$.

Find the $12^{\text{th}}$ term from the end of the $AP: -2, -4, -6, \ldots, -100$.

The $n^{th}$ term of an $A.P.$ is given by $T_{n} = -4n + 15$. Find the $15^{th}$ term and the common difference of the $A.P.$

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