Question

in an ap first term is 1/2 and 8th term is 17/6 . find it's 14th term​

Answer 1

Answer- The given question is from the chapter 'Arithmetic Progression'.

Given: First term (a)= 1/2, Eighth term (a₈)= 17/6

To find: Fourteen term (a₁₄)= ?

Solution: a= 1/2

a₈= 17/6

a + 7d = 17/6

1/2 + 7d = 17/6

7d= 17/6 - 1/2

7d= (17-3)/6

7d= 14/6

7d= 7/3

d= 7/3 ÷ 7

d= 7/3 ×1/7

d= 1/3

Now, a= 1/2 and = 1/3

a₁₄= a + 13d

a₁₄= 1/2 + 13/3

a₁₄= (3+26)/6

a₁₄= 29/6

∴ a₁₄= 29/6