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Content (CW 6). Recognizing a G.P. Analytical, inferential, synthesis. Content (CW 7). General term of a. G.P.. Analytical, inferential, synthesis. Content (CW 8). Problems on G.P.. Thinking, problem solving. Content (CW 9). Sum of first n terms of an A.P.. Observation, Analytical, inferential, synthesis. Content (CW 10) Hands
Permutation and combination: Permutation of n different things taken r at a time (r ? n). Permutation of n things not all different. Permutation with repetitions (circular permutation excluded). Combinations of n different things taken r at a time (r ? n).Combination of n things not all different.Basic properties.Problems involving
insert A.M. between two numbers;. • solve problems of daily life using concept of an A.P;. • state that a geometric progression is a sequence increasing or decreasing by a definite multiple of a non-zero number other than one;. • identify G.P.'s from a given set of progessions;. • find the common ratio and general term of a G.P;.
mcTY-apgp-2009-1. This unit introduces sequences and series, and gives some simple examples of each. . An arithmetic progression, or AP, is a sequence where each new term after the first is obtained by adding a . Now this is just an equation for n, the number of terms in the series, and we can solve it. If we subtract 1
3. Techniques relevant to problem solving: (i) Forming an equation relating three terms of a sequence. If ,x y and z are consecutive terms of an AP, then we have yzxy. ?=?. If ,x y and z are consecutive terms of a GP, then we have x y y z. = (ii) Recognising that any uninterrupted part of a sequence will retain the main
Understand the concept of Sequence and Series. Understand the nature of sequences-Arithmetic Progression. (A.P.) and Geometric Progression (G.P.). To find any term of the sequence or the sum of all terms in the sequence. Understand various formulas of A.P and G.P series. Numerical as well as mathematical problems
Clearly 15, 23, 31, 39 forms an A.P. because every term is 8 more than the preceding term. (ii) Let the initial volume of air in a cylinder be v lit. In each stroke, the vacuum pump removes. 4 of air remaining in the cylinder at a time. Page 1 of 70. Website: www.mentor minutes.com. Email: care @mentor minutes.com
means of dealing with a number of practical, and often entertaining, problems of this type. 2.2 Sequences: A set of numbers arranged in order by some fixed rule is called as sequence or Arithmetic Progression, it is denoted by A.P.. e.g., (i). 2, 4, 6 Q.11 Find three consecutive numbers in G.P whose sum is 26 and their.
(a) The third and eighth terms of an AP are 470 and 380 respectively. Find the first term and the common difference. Hint: write expressions for u3 and u8 and solve simultaneously. (b) Find the sum to 5 terms of the geometric progression whose first term is 54 and fourth term is 2. (c) Find the second term of a geometric
148 EXEMPLAR PROBLEMS – MATHEMATICS. The sum Sn of the first n 9.1.2 A Geometric progression (G.P.) is a sequence in which each term except the 9.2 Solved Examples. Short Answer Type. Example 1 The first term of an A.P. is a, the second term is b and the last term is c. Show that the sum of the A.P. is. (. 2 )(.

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March 2018