Question

If an arithmetic sequence has a 10th term of 17 and a 14th term of 30. find the common difference.​

Answer 1

`\bold{d=\frac{13}4=3\frac14}`

Explanation:

`a_(10)\,,\ _{\{+d\}}\ \ a_(11)\,,\ _{\{+d\}}\ \ a_(12)\,,\ _{\{+d\}}\ \ a_(13)\,,\ _{\{+d\}}\ \ a_(14)\quad\implies\quad\ a_(14)-a_(10)=4d\\\\4d=a_(14)-a_(10)\\\\4d=30-17\\\\4d=13\\{}\ ^(/4\quad/4)\\d=\frac{13}4=3\frac14`