Question

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



a.

Answer 1

Step-by-step explanation:

$\because \frac{4}{5}, \: a, \: 2 \: are \: in \: AP \\ \therefore a - \frac{4}{5} = 2 - a \\ \therefore \: a + a = 2 + \frac{4}{5} \\ \therefore 2a = \frac{2 \times 5 + 4}{5} \\ \therefore a = \frac{10 + 4}{5 \times 2} \\ \therefore a = \frac{14}{10} \\ \\ \therefore a = \frac{7}{5}$