(B) The given Arithmetic Progression $(A.P.)$ is $0, \frac{1}{2}, 1, \frac{3}{2}, \ldots$Here,the first term $a = 0$ and the second term $T_2 = \frac{

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(B) The given Arithmetic Progression $(A.P.)$ is $0, \frac{1}{2}, 1, \frac{3}{2}, \ldots$Here,the first term $a = 0$ and the second term $T_2 = \frac{1}{2}$.The common difference $d$ of an $A.P.$ is calculated as $d = T_2 - T_1$.Substituting the values,we get $d = \frac{1}{2} - 0 = \frac{1}{2}$.Thus,the common difference is $\frac{1}{2}$.

Class 10 Mathematics Arithmetic Progressions Mix Examples - Arithmetic Progressions

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

A
$-\frac{1}{2}$
B
$\frac{1}{2}$
C
$1$
D
$-1$

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Arithmetic Progressions

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Mix Examples - Arithmetic Progressions

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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The sum of the first $30$ positive multiples of $6$ is:

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Verify that each of the following is an $AP$,and then write its next three terms.
$\sqrt{3}, 2 \sqrt{3}, 3 \sqrt{3}, \ldots$

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The sum of the first $15$ terms of the $A.P.$ $-10, -12, -14, -16, \ldots$ is:

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The sum of the first $20$ terms of the $A.P.$ $5, 11, 17, 23, \ldots$ is:

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

Similar Questions

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 sum of the first $30$ positive multiples of $6$ is:

Verify that each of the following is an $AP$,and then write its next three terms.$\sqrt{3}, 2 \sqrt{3}, 3 \sqrt{3}, \ldots$

The sum of the first $15$ terms of the $A.P.$ $-10, -12, -14, -16, \ldots$ is:

The sum of the first $20$ terms of the $A.P.$ $5, 11, 17, 23, \ldots$ is:

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Verify that each of the following is an $AP$,and then write its next three terms.
$\sqrt{3}, 2 \sqrt{3}, 3 \sqrt{3}, \ldots$