MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Common Difference

In the arithm...

Question

In the arithmetic progression given below, find the common difference.
1, a, b, c, 9

A

0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
2

There are five terms in this AP
$a_{n}$ = $a_{1}$ + (n - 1)d
$\Rightarrow$ $a_{n} - a_{1} = (n - 1) d$
$\Rightarrow$ $\frac{a_{n} - a_{1}}{n - 1} = d$

Here, $a_{1} = 1; n = 5; a_{n} = 9$
Therefore the common difference,
$d = \frac{9 - 1}{5 - 1} = 2$

Suggest Corrections

thumbs-up

2

Similar questions

Q. Find out which of the following sequences are arithmetic progressions. For those which are arithmetic progressions, find out the common difference.

a + b, (a + 1) + b, (a + 1) + (b + 1), (a + 2) + (b + 1), (a + 2) + (b + 2), . . . .

Q. An Arithmetic Progression of positive integers has its n^th term as 66541⁸⁷⁶⁸. Find the first term of this Arithmetic Progression if the common difference = 9.

Q. Find the common difference and

99 t h

term of the arithmetic progression:

7 \frac{3}{4}, 9 \frac{1}{2}, 11 \frac{1}{4}, . . . . . . . . . . . .

Q. An Arithmetic Progression of positive integers has its

n^{t h}

66541^{8768}

. Find the first term of this Arithmetic Progression if the common difference = 9.

Q. Find out which of the following sequence are arithmetic progression. For those which are arithmetic progression, find out the common difference.

\frac{1}{2}, \frac{1}{4}, \frac{1}{6}, \frac{1}{8}, . . . . . .

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Introduction to AP

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Common Difference

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon