Question

Find the common difference of the AP 4,9,14,… If the first term changes to 6 and the common difference remains the same then write the new AP ​

Answer 1

Answer:

Here a1 is first term , a2 is second term and d is common difference

HERE IS YOUR ANSWER MATE

Answer 2

Step-by-step explanation:

Given: Aritmetic Progression $4,9, 14...$ is given

To find: Common difference, and a new AP when $A1=6$

For calculation of common difference,

We know that $AP=4,9,14$

∴ $A1=4$ and $A2=9$

⇒$D=A2-A1$

⇒ $9-4$

⇒ $5$

For calculation of new AP,

We know that $A1=6$, and the $D=5$

Thus, common difference between $A1$ and $A2$, $A2$ and $A3 = 5$

⇒ $A1=6$

⇒ $A2=6+5=11$

⇒$A3=11+5=16$

⇒$AP= 6, 11, 16....$

The common difference is $5$ and the new AP is $6, 11, 16....$.