Identify the common difference of the given AP: a, a+d, a+2d, a+3d, ...

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-d

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Solution

The correct option is C
d

In an AP, common difference is the difference between any two consecutive terms.

In the given AP,

First term = a,
Second term = a+d,
Third term = a+2d
$∴$ Common difference = 2nd term – 1st term
= (a+d) – (a)
= d

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Similar questions

\begin{matrix} N o . o f t e r m s & T e r m s & C o m m o n d i f f e r e n c e 3 & a - d, a, a + d & d 4 & a - 3 d, a - d, a + d, a + 3 d & 2 d 5 & a - 2 d, a - d, a, a + d, a + 2 d & d 6 & a - 5 d, a - 3 d, a - d, a + d a + 3 d, a + 5 d & 2 d \end{matrix}

a_{30} - a_{20}

A P

: a, a + d, a + 2 d, a + 3 d, . . .

Which of the following series forms an AP?

$(i) a - 2 d, a - d, a, a + d, a + 2 d$

$(i i) a, a + d, a + 2 d, a + 3 d, a + 4 d$

$(i i i) a - 3 d, a - d, a + d, a + 3 d$

∣ ∣ ∣ ∣ ∣ \begin{matrix} (a + d) (a + 2 d) & a + 2 d & a 2 d (a + 2 d) & d & d 2 d (a + 3 d) & d & d \end{matrix} ∣ ∣ ∣ ∣ ∣

a

d

a = - 1.25, d = - 0.25

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