Question

If 4/5,a,2 are 3 consecutive terms of an ap find value of a

Answer 1

Step-by-step explanation:

$\because \: \frac{4}{5}, \: a, \: 2 \: are \: in \: AP \\ \\ \therefore \: their \: common \: differences \: \\ would \: be \: equal \\ \\ \therefore \:a - \frac{4}{5} = 2 - a \\ \\ \therefore \:a + a = \frac{4}{5} + 2 \\ \\ \therefore \:2a = \frac{4 + 2 \times 5}{5} \\ \\ \therefore \:2a = \frac{4 + 10}{5} \\ \\ \therefore \:2a = \frac{14}{5} \\ \\ \therefore \:a = \frac{14}{5 \times 2} \\ \\ \huge \purple{ \boxed{\therefore \:a = \frac{7}{5 } }}$