Question

if the first term of an ap is 3 and 11th term is 43 find the common difference ​

Answer 1

Answer:

$\bigstar{Common\:difference\:=\:4}$

Step-by-step explanation:

Given:

• First term of the A.P (A₁) = 3
• Eleventh term of the A.P (A₁₁) = 43

To Find:

• Common difference (d)

Solution:

• Common difference is given by the formula

          $d=\frac{a_{m} -a_n}{m-n}$

      → where $a_m=a_{11} =43$, $a_n=a_{1} =3$, $m=11,\:n=3$

• Substituting the values in the above equation, we get

      ⇒$d=\frac{43-3}{11-1}$

      ⇒$d=\frac{40}{10}$

      ⇒$d=4$

• Hence, the common difference of the A.P is 4

Notes:

• The common difference of an A.P is the difference between its two adjacent terms.
• Common difference(d) can be found out by the following formulas

       ⇒$d=a_2-a_1$

       ⇒$d=\frac{a_m-a_n}{m-n}$

Answer 2

Answer:

Common Difference or d = 4.