Question

find the common difference of an ap whose first term is 1/2 and 8th term is 17/6 also find the ratio of the 14th term and 50 term​

Answer 1

Answer:

8th term= a+7d

17/6= 1/2+ 7d

7d= 17/6-1/2

7d= 17-3/6

7d= 14/6

d= 14/6*7

d= 1/3

14th term= a+13d

= 1/2 +13*1/3

= 1/2 + 13/3

= 3+ 26/6

= 29/6

50th term= a+49d

= 1/2+ 49*1/3

= 1/2+ 49/3

= 3+ 98/6

= 111/6

ratio of 14th and 50th term

= 29/6/111/6

= 29/6*6/111(reciprocate)

= 29/111

so ratio is 29:111