File Name: ap and gp solved problems .zip
Progressions and series is an important topic in CAT exam. Question 4: If 0. If the first term is odd, the second term is even and the total number of terms in the series in , then find the ratio of number of even terms to the number of odd terms. Factors of a number — Formulas for CAT. Formulas on Number system and factorials.
T he sequences and series topics includes arithmetic progression AP , and geometric progression GP. In addition, you may also find questions on series and sequences that are not part of either of these 3 progressions - likely to find such questions in CAT and GMAT. These aptitude practice questions given below have detailed explanations, and in some cases video explanations. The quantitative reasoning questions have classified on the basis of the concept tested in the question. The level of difficulty of the question is also marked to help you gauge the question.
A geometric sequence is a sequence such that any element after the first is obtained by multiplying the preceding element by a constant called the common ratio which is denoted by r. The common ratio r is obtained by dividing any term by the preceding term, i. The geometric sequence is sometimes called the geometric progression or GP , for short. For example, the sequence 1, 3, 9, 27, 81 is a geometric sequence. Note that after the first term, the next term is obtained by multiplying the preceding element by 3. The geometric sequence has its sequence formation:. To find the nth term of a geometric sequence we use the formula:.
Most of the logically puzzled questions asked from Sequences and Progressions. The aptitude questions on progressions will be direct type of progression format or any other type of sequences. This article explain in detail different types of sequence and series along with important concepts, formulas and tricks to solve the aptitude problems easily. The first and important logical responsibility from the student's end is to identify the nature of the sequences which is directly or indirectly given in the questions. With your logical reasoning skill and by practice you can crack the first half of this requirement. Then things are remaining with application of results and mere calculation. In each and every placement test and competitive exam, you can expect one or two questions from Sequences and Progressions.
In my opinion, approxi- mately 50–75% of the questions asked in CAT in the QA section can be solved with options (at least partially). Space for Rough Work. PDF.
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Some of the material found in Sections 2,3,4, and 5, can be found in standard precalculus texts. For example, refer to the books in  and . A substantial portion of the material in those sections cannot be found in such books. In Section 6, we present 21 problems, with detailed solutions.
Progressions or Sequences and Series are numbers arranged in a particular order such that they form a predictable order. By predictable order, we mean that given some numbers, we can find next numbers in the series. A sequence of numbers is called an arithmetic progression if the difference between any two consecutive terms is always same. In simple terms, it means that next number in the series is calculated by adding a fixed number to the previous number in the series. This fixed number is called the common difference. A sequence of numbers is called a geometric progression if the ratio of any two consecutive terms is always same.
In the sequence above, what is the. Practice all Civics questions and answers and get ready to pass your civics exam. The anti-codon matches complementary bases in the mRNA sequence. If you have any suggestions or questions. First, here is the question one more time. Sequence questions will have multiple moving parts and pieces, and you will always have several different options to choose from in order to solve You will see two different types of sequences on the SAT--arithmetic and geometric. The best videos and questions to learn about Geometric Sequences.
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This unit introduces sequences and series, and gives some simple examples An arithmetic progression, or AP, is a sequence where each new term after Now this is just an equation for n, the number of terms in the series, and we can solve it. (b) Find the 10th and 20th terms of the GP with first term 3 and common ratio.Reply
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