Sequences and Series Examples
) ka, kb, kc are in G.P. (b) a/k, b/k, c/k are in G.P. (x) (a) If the product of three numbers in G.P. is given, then the numbers should be taken as a/r, a, ar. (b) If the product of four numbers in G.P. is given, then the numbers should be taken as a/r 3 , a/r, ar, ar 3 (i) A sequence of non-zero ..
) ka, kb, kc are in G.P. (b) a/k, b/k, c/k are in G.P. (x) (a) If the product of three numbers in G.P. is given, then the numbers should be taken as a/r, a, ar. (b) If the product of four numbers in G.P. is given, then the numbers should be taken as a/r 3 , a/r, ar, ar 3 (i) A sequence of non-zero ..Summary ) ka, kb, kc are in G.P. (b) a/k, b/k, c/k are in G.P. (x) (a) If the product of three numbers in G.P. is given, then the numbers should be taken as a/r, a, ar. (b) If the product of four numbers in G.P. is given, then the numbers should be taken as a/r 3 , a/r, ar, ar 3 (i) A sequence of non-zero ..
) ka, kb, kc are in G.P. (b) a/k, b/k, c/k are in G.P. (x) (a) If the product of three numbers in G.P. is given, then the numbers should be taken as a/r, a, ar. (b) If the product of four numbers in G.P. is given, then the numbers should be taken as a/r 3 , a/r, ar, ar 3 (i) A sequence of non-zero ..Harmonic Mean (H.M.)
If three quantities are in harmonic progression, then the middle quantity is called the harmonic mean between the other tw..
Harmonic Progression (H.P.)
A sequence of numbers is said to form a harmonic progression if their reciprocals form an arithmetic progressio..
Harmonic Progression (H.P.)
Harmonic Progression (H.P.) - A sequence of numbers is said to form a harmonic progression if their reciprocals form an arithmetic progressio..
Harmonic Progression (H.P.) - A sequence of numbers is said to form a harmonic progression if their reciprocals form an arithmetic progressio..To find the harmonic mean between two given quantities
Let H be the harmonic mean between the quantities a and b. ..
Let H be the harmonic mean between the quantities a and b. ..Inserting n Harmonic Means between two quantities
To insert n Harmonic Means between two given quantities - Let a and b be two given quantities. It is required to insert n harmonic means h 1 , h 2 , h 3 ,....h n between the quantities a and b. Let d = common difference of the A.P. Hence h 1 , h..
To insert n Harmonic Means between two given quantities - Let a and b be two given quantities. It is required to insert n harmonic means h 1 , h 2 , h 3 ,....h n between the quantities a and b. Let d = common difference of the A.P. Hence h 1 , h..General Series
General Series - 1. To find the sum of first n natural numbers. ..
General Series - 1. To find the sum of first n natural numbers. ..General Series
1. To find the sum of first n natural numbers. 2. To find the sum to squares of first n natural numbers. 3. To find the sum to the cubes of first n natural numbers. 4. Method of finding sum of a series whose nth term is know..
Sequences and Series
Introduction - A set of numbers arranged in a definite order according to some definite rule is called a sequenc..
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