sum only positive numbers





Step 1:
In (a + b) n , the constants a and b must be positive. ..
Examples:
i) A sequence of multiples of 5 5, 10, 15, 20, ii) A sequence of reciprocals of positive integers The above two sequences are clearly the infinite sequence..
Question 9
Question: Find four numbers in AP whose sum is 26. Sum of the products of the extremes and the middle terms is 62. Answer: Let (a - 3d), (a - d), (a + d), (a + 3d) be the four numbers in AP The numbers are ..
Question 12
Question: Find three numbers in AP whose sum is 9 and sum of their cubes is 153. Answer: Let a-d, a, a+d be three numbers in AP. ..
Sigma Notation
The Greek letter S (read as sigma) denotes the sum. When written before the n t h term of series, implies, the sum of all terms obtained by giving to n the different values 1,2,3n. Thu..
Question 13
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, ..
Sigma Notation
Sigma Notation - The Greek letter S (read as sigma) denotes the sum. When written before the n t h term of series, implies, the sum of all terms obtained by giving to n the different values 1,2,3n. Thu..
Polynomials
An algebraic expression of the form a 0 +a 1 x+a 2 x 2 +.+a n x n where a 0 , a 1 , a 2 ,.a n are real numbers, n is a positive integer is called a polynomial in ..
Polynomial
An algebraic expression of the form a 0 +a 1 x+a 2 x 2 +.+a n x n where a 0 , a 1 , a 2 ,.a n are real numbers, n is a positive integer is called a polynomial in..
Question 19
Question: The sum of certain numbers in AP is 5500. If the first and the last terms are 100 and 1000 respectively, find the number of terms. Answer: ..
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