If a b c are in HP then a minus b by 2 B by 2 minus B by 2 will be in
Answers
Answered by
1
Answer:
GP
Step-by-step explanation:
a, b , c are in H.P
=> 2/b = 1/c + 1/a
=> 2/b = (a + c) /ac
=> 2ac = b(a+c)
=> 2ac = ab + bc
=> ac = ab/2 + bc/2
=> ac - ab/2 - bc/2 = 0
add b²/4 on both sies
=> ac - ab/2 - bc/2 + b²/4 = b²/4
=> (b/2)² = (a - b/2) (c - b/2)
We know that if a , b, c are in GP, then b² = ac.
So this means a - b/2, b/2 and c -b/2 are in GP.
Similar questions