In an A.P.
Given a = 3, n = 8, S = 192, find ‘d’.

Solution

Here a = 3, n = 8
S = 192
We know that,
$straight S subscript straight n equals straight n over 2 left square bracket 2 straight a plus left parenthesis straight n minus 1 right parenthesis straight d right square bracket$
$therefore space space space space 192 space equals space 8 over 2 left square bracket 2 cross times 3 plus left parenthesis 8 minus 1 right parenthesis straight d right square bracket rightwards double arrow space space space space 192 over 4 equals 6 space plus space 7 straight d$
$rightwards double arrow$ 6 +7d = 48
$rightwards double arrow space space space space straight d space equals space 42 over 7 equals 6$
Hence, d = 6 Ans.

Some More Questions From Arithmetic Progressions Chapter

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Arithmetic Progressions

In an A.P.
Given a = 3, n = 8, S = 192, find ‘d’.

Some More Questions From Arithmetic Progressions Chapter

Write 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

For the following APs, write the first term and the common difference
3, 1, – 1, – 3, . . .

For the following APs, write the first term and the common difference
– 5, – 1, 3, 7, . . .

For the following APs, write the first term and the common difference
0.6, 1.7, 2.8, 3.9, . . .

Which of the following are APs ? If they form an AP, find the common difference d and write three more terms.
– 1.2, – 3.2, – 5.2, – 7.2, . . .

Which of the following are APs ? If they form an AP, find the common difference d and write three more terms.
–10, –6, –2, 2, ....

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NCERT Sample Papers

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For Daily Free Study Material Join wiredfaculty

Arithmetic Progressions

In an A.P. Given a = 3, n = 8, S = 192, find ‘d’.

Some More Questions From Arithmetic Progressions Chapter

Write 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

For the following APs, write the first term and the common difference3, 1, – 1, – 3, . . .

For the following APs, write the first term and the common difference– 5, – 1, 3, 7, . . .

For the following APs, write the first term and the common difference0.6, 1.7, 2.8, 3.9, . . .

Which of the following are APs ? If they form an AP, find the common difference d and write three more terms.– 1.2, – 3.2, – 5.2, – 7.2, . . .

Which of the following are APs ? If they form an AP, find the common difference d and write three more terms. –10, –6, –2, 2, ....

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

In an A.P.
Given a = 3, n = 8, S = 192, find ‘d’.

Write 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

For the following APs, write the first term and the common difference
3, 1, – 1, – 3, . . .

For the following APs, write the first term and the common difference
– 5, – 1, 3, 7, . . .

For the following APs, write the first term and the common difference
0.6, 1.7, 2.8, 3.9, . . .

Which of the following are APs ? If they form an AP, find the common difference d and write three more terms.
– 1.2, – 3.2, – 5.2, – 7.2, . . .

Which of the following are APs ? If they form an AP, find the common difference d and write three more terms.
–10, –6, –2, 2, ....