if a , b , c are in AP then prove that (a-c)2 = 4(b2 - ac) if x, - Maths - Sequences and Series

Question

if a , b , c are in AP then prove that (a-c)2 =
4(b2 - ac)
if x, y, z are in GP and loga b x log
c b = 1 , then show that ax =
by = cz
plz any1 answer quickly its urgent

Priyanka Kedia · Accepted Answer

(a) Given that: a, b, c are in A P So,

Squaring on both sides, we get,

Subtract (-4ac) on both sides we get,

Hence proved (2) Please recheck your second question x, y, z are in G P

(1) We have,

Putting the values of x, y and z in (1), we get,

if a , b , c are in AP then prove that (a-c)2 = 4(b2 - ac). if x, y, z are in GP and loga b . x log c b = 1 , then show that ax = by = cz .plz any1 answer quickly.. its urgent....

if a , b , c are in AP then prove that (a-c)² = 4(b² - ac).

if x, y, z are in GP and log^a _b . x log ^c _b = 1 , then show that a^x = b^y = c^z .
plz any1 answer quickly.. its urgent....