Sequences and Series Summary
Summary - (i) Let X be a set of numbers and f : N n X be a function, then the ordered set {f(1), f(2),...., f(n)} is called a finite sequence in X. (ii) Let X be a set of numbers and f : N X be a function, then the ordered set {f(1), f(2),....} is called an infinite sequence in ..
Arithmetic Mean (A.M.)
: These can be inserted between a and b. b. To find the sum of n arithmetic means between the two given quantities: Let the two quantities (numbers) be a and b. The required sum = A 1 + A 2 + A 3 + ---- + A..
: These can be inserted between a and b. b. To find the sum of n arithmetic means between the two given quantities: Let the two quantities (numbers) be a and b. The required sum = A 1 + A 2 + A 3 + ---- + A..Suggested answer:
Step 1: The factor pairs of the third term are ((7,4); (14,2); (28, 1). Step 2: The pair of factors whose sum is equal to the co-efficient of the middle term is 14 and 2. Step 3: Rewrite the expression using these factors Step 4: Group the terms and factorise. ..
Step 1: The factor pairs of the third term are ((7,4); (14,2); (28, 1). Step 2: The pair of factors whose sum is equal to the co-efficient of the middle term is 14 and 2. Step 3: Rewrite the expression using these factors Step 4: Group the terms and factorise. ..Suggested answer:
Step 1: Factor pairs of the last term are (9,-2); (-6,3); (-18,1);(-9,2);(6,-3); (18,-1). Step 2: The pair of factors whose sum is equal to the co-efficient of the middle term is (-6,3). Step 3: Rewrite the expression using these factors as Step 4: Group the terms and factorise. ..
Step 1: Factor pairs of the last term are (9,-2); (-6,3); (-18,1);(-9,2);(6,-3); (18,-1). Step 2: The pair of factors whose sum is equal to the co-efficient of the middle term is (-6,3). Step 3: Rewrite the expression using these factors as Step 4: Group the terms and factorise. ..Arithmetic Geometric Series
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..
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..Diagonal Matrix
A square matrix A=[a i j ] n x n is called a diagonal matrix if all the elements, except those in the leading diagonal, are zero. i.e., a i j = 0 for all i ..
A square matrix A=[a i j ] n x n is called a diagonal matrix if all the elements, except those in the leading diagonal, are zero. i.e., a i j = 0 for all i ..Question 6
Question: A = {a, b, c, e}; B = {b, c, d, e, f}; C = {d, e, f, g} Answer: (i) (ii) (iii) (iv) ..
Question: A = {a, b, c, e}; B = {b, c, d, e, f}; C = {d, e, f, g} Answer: (i) (ii) (iii) (iv) ..Significant Figures Introduction
. (v) The thickness of a metal wire is 0.02 cm. The unit of accuracy required is hundredth of a centimeter. Therefore, only digit 2 is significant. The 0 after decimal indicates the magnitude of measurement. Therefore, the 0 after decimal point is not significant. .02 cm has one significant figure...
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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..Suggested answer:
3. Find the sum to infinity of the seri..
3. Find the sum to infinity of the seri..See what our Users say :
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