Question

Fifth term of an arithmetic sequence is 5 and 10 term is 25. What is the common difference

Answer 1

Answer:

d=5

Step-by-step explanation:

Given 5th term of an AP is 5

=> a+4d=5 (equation 1)

And

10th term of same AP is 25

=> a+9d=25 (equation 2)

Subtracting equation 1 from equation 2

a+9d=25

a+5d=5

––––––––

4d= 20

d=5

Answer 2

X5 = 5

X10=25

$common \: difference = \frac{term \: difference}{position \: difference}$

$d = \frac{25 - 5}{10 - 5} \\ \\ = \frac{20 }{5} \\ = 4$