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To find the sum of a number of terms in Arithmetical Progression:
Let a=first term, d = common difference, l=t n =last term, s = required sum. Then, Writing the series in the reverse order, Adding together the two series, ..
Let a=first term, d = common difference, l=t n =last term, s = required sum. Then, Writing the series in the reverse order, Adding together the two series, ..Suggested answer:
4. Method of finding sum of a series whose n t h term is know..
4. Method of finding sum of a series whose n t h term is know..To find the sum to infinity of a GP when the common ratio r is numerically less than 1
Consider the GP a, ar, ar 2 ... ..
Consider the GP a, ar, ar 2 ... ..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:
Subtracting (ii) from (i), we get ..
Subtracting (ii) from (i), we get ..Suggested answer:
4. Sum the following: i) 1.2 + 2.4 + 3.8 +.... to n ter..
4. Sum the following: i) 1.2 + 2.4 + 3.8 +.... to n ter..Suggested answer:
Subtracting (ii) from (i), we get ..
Subtracting (ii) from (i), we get ..Combinations problems and word problems
Question 1 - Question: Answer: As n represents all positive integers, we have Multiplying the above terms of both sides respectively, we get Multiplying both sides of inequality by n!, we g..
Question 1 - Question: Answer: As n represents all positive integers, we have Multiplying the above terms of both sides respectively, we get Multiplying both sides of inequality by n!, we g..Question 3
Question: Answer: i) ii) iii) ..
Question: Answer: i) ii) iii) ..Question 7
Question: A candidate is required to answer 6 out of 10 questions, which are divided into two groups, each containing 5 questions, and he is not permitted to attempt more than 4 from each group. In how many ways can he make his choice? Answer: ..
Question: A candidate is required to answer 6 out of 10 questions, which are divided into two groups, each containing 5 questions, and he is not permitted to attempt more than 4 from each group. In how many ways can he make his choice? Answer: ..See what our Users say :
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