Question

If 4/5 ,a,2 are three consecutive terms of ap then the value of a is

Answer 1

Step-by-step explanation:

$\because \: \frac{4}{5} , \: a , \: 2 \: are \: three \: consecutive \: \\ terms \: of \: an \: AP. \\ \therefore \: a - \frac{4}{5} = 2 - a \\ \frac{5a - 4}{5} = 2 - a \\ 5a - 4 = 5(2 - a) \\ 5a - 4 = 10 - 5a \\ 5a + 5a = 10 \\ 10a = 10 \\ a = \frac{10}{10} \\ a = 1$