(A) Given: $a = -1$ and $d = \frac{1}{2}$.The general form of an $AP$ is $a_1, a_2, a_3, a_4, \dots$ where $a_n = a + (n-1)d$.$a_1 = a = -1$$a_2 = a +

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(A) Given: $a = -1$ and $d = \frac{1}{2}$.The general form of an $AP$ is $a_1, a_2, a_3, a_4, \dots$ where $a_n = a + (n-1)d$.$a_1 = a = -1$$a_2 = a + d = -1 + \frac{1}{2} = -\frac{1}{2}$$a_3 = a + 2d = -1 + 2(\frac{1}{2}) = -1 + 1 = 0$$a_4 = a + 3d = -1 + 3(\frac{1}{2}) = -1 + \frac{3}{2} = \frac{1}{2}$Thus,the first four terms of the $AP$ are $-1, -\frac{1}{2}, 0, \frac{1}{2}$.

Class 10 Mathematics Arithmetic Progressions Textbook -Arithmetic Progressions

Difficult

Write the first four terms of the $AP,$ when the first term $a$ and the common difference $d$ are given as follows: $a = -1, d = \frac{1}{2}$

A
-$1$,-$1$/$2$,$0$,$1$/$2$
B
-$1$,-$1$/$2$,$1$/$2$,$1$
C
-$1$,$0$,$1$/$2$,$1$
D
-$1$,-$1$/$2$,$0$,$1$

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Textbook -Arithmetic Progressions

In the following $APs,$ find the missing terms in the boxes: $-4, \square, \square, \square, \square, 6$

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$A$ manufacturer of $TV$ sets produced $600$ sets in the third year and $700$ sets in the seventh year. Assuming that the production increases uniformly by a fixed number every year,find the production in the $1^{st}$ year.

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The first and the last terms of an $AP$ are $17$ and $350$ respectively. If the common difference is $9,$ how many terms are there and what is their sum?

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Write the first four terms of the $AP,$ when the first term $a$ and the common difference $d$ are given as follows: $a = -1, d = \frac{1}{2}$

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In the following $APs,$ find the missing terms in the boxes: $-4, \square, \square, \square, \square, 6$

In an $AP$,given $a=2, d=8, S_{n}=90$,find $n$ and $a_{n}$.

Are $0.2, 0.22, 0.222, 0.2222, \ldots$ in $AP$? If they form an $AP$,find the common difference $d$ and write three more terms.

$A$ manufacturer of $TV$ sets produced $600$ sets in the third year and $700$ sets in the seventh year. Assuming that the production increases uniformly by a fixed number every year,find the production in the $1^{st}$ year.

The first and the last terms of an $AP$ are $17$ and $350$ respectively. If the common difference is $9,$ how many terms are there and what is their sum?

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