The Sum Of Infinity Of The Progression 9 3 1 1 3 Is
Solution: Given series is 9 – 3 + 1 – 1/3 + … Here a = 9 r = -1/3... View Article
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Fifth Term Of A Gp Is 2 Then The Product Of Its 9 Terms Is
Solution: Let a be the first term and r be the common ratio of a GP. Given fifth term =... View Article
If A1 A2 A50 Are In Gp Then A1 A3 A5 A49 A2 A4 A6 A50 Is Equal To
If a1, a2,…a50 are in GP, then (a1-a3+a5-…+a49)/(a2-a4+a6-…+a50) is equal to (1) 0 (2) 1 (3) a1/a2 (4) 2 a25/a24... View Article
If S Is The Sum P Is The Product And R Is The Sum Of The Reciprocals Of N Terms Of A Gp Then P2 Is Equal To
Solution: For a GP, Sum S = a+ar+ar2+…+arn-1 = a(1-rn)/(1-r) Product, P = a(ar)(ar2)…(arn-1) = anr1+2+3..n-1 = anrn(n-1)/2 ( since... View Article
The 5th Term Of The Series 10 9 1 3 Root 20 3 Is
Solution: Given series 10/9, (1/3)√(20/3), ⅔.. Here a = 10/9 r = (1/3)√20/3 ÷(10/9) = √(3/5) 5th term = ar4... View Article
If The P Q Th Term Of A Geometric Series Is M And The P Q Th Term Is N Then The Pth Term Is
Solution: Let a be first term and r be common ratio. For a GP, the nth term Tn = arn-1... View Article
Let A1 A2 A10 Be In Ap And H1 H2 H10 Be In Hp If A1 H1 2 And A10 H10 3 Then A4h7 Is
Let a1, a2…a10 be in AP and h1, h2,… h10 be in HP. If a1 = h1 = 2 and... View Article
The Value Of X Which Satisfies 8 1 Cos X Cos2x 64 In Pi Pi Is
Solution: Given 81+cos x +cos^2x +… = 64 81+cos x +cos^2x +… = 82 1+cos x + cos2x+….. Is an... View Article
Let Sk Be The Sum Of An Infinite Gp Series Whose First Term Is K And Common Ratio Is K Then The Value Of Sigma K 1 To Infinity Is Equal To
Let Sk be the sum of an infinite GP series whose first term is k and common ratio is k/(k... View Article
For What Values Of X The Numbers 1 X 3 4 Are In Gp
Solution: -1, x, – 3/4 is the given series. For a GP b2 = ac x2= (-1×- ¾) = 3/4... View Article
The Sum Of First 8 Terms Of The Geometric Series 2 6 18 54 Is
Solution: The given series 2+6+18+54+…. is a GP. Here first term a = 2 Common ratio r = 6/2 =... View Article
What Is The Study Of Probability
Probability is an important branch of Mathematics which basically deals with the phenomena of chances or randomness of events. Probability... View Article
Does Dot Product Have Units
Does Dot Product have Units? The answer is “Yes”. The units of the dot product of two vectors = Product... View Article
How Many Zeros Are There In 50 Factorial
The number of 0’s is equal to the powers of 5 in the expansion of 50!. The approximate value of... View Article
What Is K In Pendulum
K is the spring constant. The pendulum is a simple harmonic oscillator with spring constant, K.
How Do You Make A Straight Line
A straight line is a one dimensional figure that makes a 180 degree angle when drawing an angle from one... View Article
What Are The Three Conditions Of Rolle Theorem
Rolle’s theorem is a special case of the mean-value theorem of differential calculus. “All three conditions of Rolle’s theorem are... View Article
What Is Binding Energy Of Electron
Binding energy is the energy with which an electron is bounded in the atom due to attractive force. Electron binding... View Article
Why Is Copper Used For Most Electrical Wiring
Copper is used for electrical wires due to its good electrical conductivity. A malleable, metallic chemical element with high conductivity.... View Article
Can Electric Field Inside A Conductor Be Non Zero
Can the electric field inside a conductor be non zero? The answer is NO. Electric field inside a conductor is... View Article
