If A represents the arithmetic mean, H represents the harmonic mean and G represents the geometric mean, then what is the relation between them?

(1 - 2) = -1
(3 - 4) = -1
(5 - 6) = -1
and so on.
? Total terms of -1 will be 50.
? Answer = -1 x 50 = -50

Series Pattern
+6, +9, +12, +15....
? Missing term = 6 + 6 = 12

Given series is a consecutive prime number series. Therefore, the next term will be 23.

If 10 circular plates each of thickness 3 cm, each are placed one above the other, then it forms a cylinder with height (3 x 10 = 30 cm) and a hemisphere of radius 6 cm is placed on the top just to cover the cylinder that means its radius is 6 cm also
? Radius of hemisphere (R) = 6 cm
Radius of cylinder (r) = 6 cm
and height of cylinder (h) = 30 cm
? Volume of the solid = Volume of cylinder + Volume of hemisphere
= ?r²h + (2/3)?R³
= ?(6)² x 30 + (2/3)?(6)³
= ? x 36 x 30 + (2/3)? x 216
= 1080? + 2? x 72 = 1080? + 144?
= 1224? cm³
Which is the required volume of solid.

Curved surface area of cylinder = 2?rh cm²
Total surface area of cylinder = 2?r(h + r) cm²
Now, According to the question
2?rh/2?r(h + r) = 1/2
? h/(h + r) = 1/2
? 2h = h + r
? Now, Total surface area = 616 cm²
? 2? (h + r) = 616
? 2?r (r + r) = 616 (? h = r)
? 2?r(2r) = 616
? 4?r² = 616
? r = ?style="text-decoration:overline">616/4?
= ?616 x 7/4 x 22
= ?7 x 7 =
? r = h = 7 cm
? Volume = ? r² h
= (22/7) x (7 x 7) x 7 = 1078 cm³

Series pattern
Every next element = 3 x previous element
? Missing term = 3 x 36 = 108

Series pattern
1², 3², 5², 7², 9², 11²
? Missing term = 1² = 1

Series pattern
+3, +6, +9, +12, +15, +18
? Missing term = 57 + 18 = 75

Series pattern
(2 x Previous element) - 1
? Missing term = (2 x 65) - 1 = 130 - 1 = 129

Series pattern = (Previous element/2) - 1
Missing term = 23/2 - 1 = 10.5