Arithmetic Geometric Series
A series of the form a + (a + d)r + (a + 2d)r 2 + ... is called an Arithmetic-Geometric series. In the series if we put we get GP and if we put r = 1, we get an AP. To find the sum to the series Subtracting (ii) from (i), we g..
A series of the form a + (a + d)r + (a + 2d)r 2 + ... is called an Arithmetic-Geometric series. In the series if we put we get GP and if we put r = 1, we get an AP. To find the sum to the series Subtracting (ii) from (i), we g..Suggested answer:
Let S n = 1+2+3+4+...+n This series is an A.P. Here a=1, d=1, l = t n = n 2. To find the sum to squares of first n natural numbers. or..
Let S n = 1+2+3+4+...+n This series is an A.P. Here a=1, d=1, l = t n = n 2. To find the sum to squares of first n natural numbers. or..To find the sum of n terms of a GP
Let a = First term, r = common ratio, n = number of terms. Multiply both sides of (i) by r, the common ratio. Subtracting (ii) from (i), we get ..
Let a = First term, r = common ratio, n = number of terms. Multiply both sides of (i) by r, the common ratio. Subtracting (ii) from (i), we get ..Harmonic Progression (H.P.)
A sequence of numbers is said to form a harmonic progression if their reciprocals form an arithmetic progressio..
A sequence of numbers is said to form a harmonic progression if their reciprocals form an arithmetic progressio..Suggested answer:
n t h term of (1,2,3,....) is n Subtracting (ii) from (i), we get ..
n t h term of (1,2,3,....) is n Subtracting (ii) from (i), we get ..Question 25
Question: When n = 8, r = 3, and when n = 8, r = 5, find the value of Answer: When n = 8, r = 3 When n = 8, r = 5 ..
Question: When n = 8, r = 3, and when n = 8, r = 5, find the value of Answer: When n = 8, r = 3 When n = 8, r = 5 ..Question 25
Question: Answer: ..
Question: Answer: ..Question 18
Question: Answer: ..
Question: Answer: ..Question 23
Question: If A and B be the sum of the odd terms and the sum of the even terms separately in the expansion of (x + a) n , then Answer: Again, ..
Question: If A and B be the sum of the odd terms and the sum of the even terms separately in the expansion of (x + a) n , then Answer: Again, ..Question 30
Question: Write and simplify the term involving in the expansion Answer: ..
Question: Write and simplify the term involving in the expansion Answer: .. Result
Pages   :     1     2     3     4     5     6     7     8     9     10     11
See what our Users say :
Very informational yet simple and easy to comprehend. Tutor Vista is helping me a lot.
Tutor was quite helpful at this late hour. The steps were very clear that were taken to arrive at the answers. I understood the meaning of 24/7 tutoring
Tutor was very thoughful and considerate. She made sure that I understood the concepts every step of the way.
very patient tutor, explained everything step by step did not loose patience when i was not understanding and did not give up till i understood, 5 star i give coz she rocks.Highly recommend Tutor Vista
