(B) The given $A.P.$ is $50, 56, 62, 68, \ldots$Here,the first term $a = 50$.The common difference $d = 56 - 50 = 6$.We need to find the $100^{th}$ te

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(B) The given $A.P.$ is $50, 56, 62, 68, \ldots$Here,the first term $a = 50$.The common difference $d = 56 - 50 = 6$.We need to find the $100^{th}$ term $(a_{100})$.The formula for the $n^{th}$ term of an $A.P.$ is $a_n = a + (n - 1)d$.Substituting the values: $a_{100} = 50 + (100 - 1) \times 6$.$a_{100} = 50 + 99 \times 6$.$a_{100} = 50 + 594$.$a_{100} = 644$.

Class 10 Mathematics Arithmetic Progressions Mix Examples - Arithmetic Progressions

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Find the $100^{th}$ term of the $A.P.$ $50, 56, 62, 68, \ldots$

A
$573$
B
$644$
C
$515$
D
$663$

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Arithmetic Progressions

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Mix Examples - Arithmetic Progressions

Which term of the $A.P.$ $63, 65, 67, \ldots$ and $3, 10, 17, \ldots$ are equal (in $^{th}$)?

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For an $A.P.$,the $7^{th}$ term is $34$ and the $13^{th}$ term is $64$. Then,the $18^{th}$ term of the $A.P.$ is........

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For the $A.P.$ $0, \frac{1}{2}, 1, \frac{3}{2}, \ldots,$ the common difference is $\ldots \ldots \ldots \ldots$

Easy

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For the $AP: -3, -7, -11, \ldots,$ can we find $a_{30} - a_{20}$ directly without actually finding $a_{30}$ and $a_{20}$? Give reasons for your answer.

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Find the $100^{th}$ term of the $A.P.$ $50, 56, 62, 68, \ldots$

Similar Questions

Which term of the $A.P.$ $63, 65, 67, \ldots$ and $3, 10, 17, \ldots$ are equal (in $^{th}$)?

For an $A.P.$,the $7^{th}$ term is $34$ and the $13^{th}$ term is $64$. Then,the $18^{th}$ term of the $A.P.$ is........

The first term of an $A.P.$ is $a$ and its common difference is $d$. Then,the $18^{th}$ term of the $A.P.$ is..........

For the $A.P.$ $0, \frac{1}{2}, 1, \frac{3}{2}, \ldots,$ the common difference is $\ldots \ldots \ldots \ldots$

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