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Arithmetic Progressions

Question

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The common difference of AP $\frac{1}{3 q} . \frac{1 - 6 q}{3 q}, \frac{1 - 12 q}{3 q}, . . . . . . . . i s;$ 1 1 6q 1 12q, , 3q 3q 3q
... is:

q

-q

-2

2

Solution

C.

-2

$C o m m a n d i f f e r e n c e = \frac{1 - 6 q}{3 q} - \frac{1}{3 q} = \frac{1 - 6 q - 1}{3 q} = \frac{- 6 q}{3 q} = - 2$

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 = 4, d = – 3

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, . . .

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