Question

A.P 1/3,5/3,9/3,13/3..
WRITE COMMON DIFFERENCE

Answer 1

a=1/3,( a+d)=5/3
d=(a-(a+d))
d=(5/3)-(1/3)
d=4/3
Simple!!

Answer 2

Common difference of given A.P. is 4/3.

Given:

• An A.P.
• $\frac{1}{3}, \frac{5}{3}, \frac{9}{3}, \frac{13}{3},...$

To find:

• Find the common difference of A.P.

Solution:

Concept to be used:

Common difference of A.P. is difference of two consecutive terms.

Step 1:

First term $a = \frac{1}{3}$

Second term$= \frac{5}{3}$

Third term$= \frac{9}{3}$

Step 2:

Calculate common difference.

d= Second term-first term

$d = \frac{5}{3} - \frac{1}{3}$

or

$d = \frac{5 - 1}{3}$

or

$\bf d = \frac{4}{3}$

For confirmation,

d= Third term - second term

$d = \frac{9}{3} - \frac{5}{3}$

or

$d = \frac{9 - 5}{3}$

or

$\bf d = \frac{4}{3}$

Thus,

Common difference of A.P. is 4/3.

_____________________________

Learn more on A.P.:

1) 26th, 11th and last term of an ap are 0, 3 and -1/5 respectively . find the common difference and the number of terms

https://brainly.in/question/2643522

2) find the number of terms of the AP -12, -9, -6 ... , 21. If 1 is added to each term of this AP, then find the sum of ...

https://brainly.in/question/8420712