Question

If a, b, c are in A.P then ________.​

Answer 1

Answer:

${ \sf{If \: a, b, c \: are \: in \: AP \: then \: \frac{a + c}{2} = b}}$

Explanation:

• In a Arthimetic progression their common difference will be same.
• Here 1st term t1 is a and t2 is b and t3 is c

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:{ \sf{ t_{2} - t_{1} = t_{3} - t_{2}}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf{b - a = c - b}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf{b + b = a + c}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf{2b = a + c}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf{b = \frac{a + c}{2} }}$