Question

If 70 ,k ,100 are in Aap , tha value of k is ?​

Answer 1

Answer- The above question is from the chapter 'Arithmetic Progressions'.

Concept used: If a, b and c are in A.P., then their common difference is equal.

⇒ b - a = d

⇒ c - b = d

⇒ b - a = c - b

⇒ 2b = a + c

Given question: If 70, k ,100 are in A.P., the value of k is ____ .

Solution: Given A.P.: 70, k, 100

⇒ Common difference is equal.

k - 70 = 100 - k

⇒ 2k = 100 + 70

2k = 170

k = 170 ÷ 2

k = 85

∴ If 70, k ,100 are in A.P., the value of k is 85.