(A) Given: First term $a = -1.25$ and common difference $d = -0.25.$The terms of an $AP$ are given by $a_n = a + (n-1)d.$First term: $a_1 = a = -1.25$

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(A) Given: First term $a = -1.25$ and common difference $d = -0.25.$The terms of an $AP$ are given by $a_n = a + (n-1)d.$First term: $a_1 = a = -1.25$Second term: $a_2 = a + d = -1.25 + (-0.25) = -1.50$Third term: $a_3 = a + 2d = -1.25 + 2(-0.25) = -1.25 - 0.50 = -1.75$Fourth term: $a_4 = a + 3d = -1.25 + 3(-0.25) = -1.25 - 0.75 = -2.00$Thus,the first four terms of the $AP$ are $-1.25, -1.50, -1.75,$ and $-2.00.$

Class 10 Mathematics Arithmetic Progressions Arithmetic Progressions

Medium

Write the first four terms of the $AP,$ when the first term $a$ and the common difference $d$ are given as follows: $a = -1.25, d = -0.25.$

A
$-1.25, -1.50, -1.75, -2.00$
B
$-1.25, -1.00, -0.75, -0.50$
C
$-1.25, -1.50, -2.00, -2.25$
D
$-1.25, -0.75, -0.25, 0.25$

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Arithmetic Progressions

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Arithmetic Progressions

Are $\sqrt{3}, \sqrt{6}, \sqrt{9}, \sqrt{12}, \ldots$ in an $AP$? If they form an $AP$,find the common difference $d$ and write three more terms.

Medium

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In which of the following situations,does the list of numbers involved make an arithmetic progression,and why? The amount of money in the account every year,when ₹ $10000$ is deposited at compound interest at $8 \%$ per annum.

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Do $4, 10, 16, 22, \ldots$ form an $AP$? If they form an $AP,$ write the next two terms.

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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: $a = -1.25, d = -0.25.$

Similar Questions

Are $\sqrt{3}, \sqrt{6}, \sqrt{9}, \sqrt{12}, \ldots$ in an $AP$? If they form an $AP$,find the common difference $d$ and write three more terms.

The taxi fare after each $km$,when the fare is $Rs. 15$ for the first $km$ and $Rs. 8$ for each additional $km$,does not form an $AP$ as the total fare (in $Rs.$) after each $km$ is $15, 8, 8, 8, \ldots$. Is the statement true? Give reasons.

In which of the following situations,does the list of numbers involved make an arithmetic progression,and why? The amount of money in the account every year,when ₹ $10000$ is deposited at compound interest at $8 \%$ per annum.

The digits of a three-digit number form an $A.P.$ and their sum is $15$. The number obtained by reversing the order of the digits exceeds the original number by $594$. Find the original number.

Do $4, 10, 16, 22, \ldots$ form an $AP$? If they form an $AP,$ write the next two terms.

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