Question

If 2/3 ; k ; 5/8 are in AP then find the value of k

Answer 1

2/3 ; k ; 5/8 are in AP

a = 2/3

b = k

c = 5/8

a + c = 2b

2/3 + 5/8 = 2k

16 + 15/24 = 2k

31/48 = k

Check:

a + c = 2b

2/3 + 5/8 = 2×31/48

16 + 15/24 = 31/24

31/24 = 31/24

LHS = RHS

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