Đáp án:
`A=1+2+2^2+...+2^31`
`2A=2+2^2+2^3+...+2^32`
`2A-A=(2+2^2+...+2^32)-(1+2+...+2^31)`
`A=2^32-1`
`A+1=2^32=(2^16)^2`
`=> A+1` là số chính phương `(đpcm)`
Xét $A=1+2+2^2+2^3+...+2^{31}$
$⇔2A=2+2^2+2^3+...+2^{31}+2^{32}$
$⇔2A-A=(2+2^2+2^3+...+2^{31}+2^{32})-(1+2+2^2+2^3+...+2^{31})$
$⇔A=2^{32}-1$
$⇔A+1=(2^{32}-1)+1=2^{32}=(2^{16})^2$ là số chính phương (đpcm)
TIẾNG ANH 7 is the second of four-level English language textbooks for Vietnamese students in lower secondary schools learning English as a foreign language (EFL). It follows the systematic, cyclical, and theme-based syllabus approved by the Ministry of Education and Training in January 2012, which focuses on the use of language (pronunciation, vocabulary, and grammar) to develop the four language skills (listening, speaking, reading and writing). THE COMPONENTS OF THE TEXTBOOK The complete learning set of TIẾNG ANH 7 consists of THE STUDENT’S BOOK, THE TEACHER’S BOOK, THE WORKBOOK and THE CD. THE STUDENT’S BOOK The Student’s Book contains: • Book map: Introducing the basics of each unit • 12 topic-based Units, each covering seven sectionsto be taught in seven 45-minute lessons • Four Reviews, each providing revision and further practice of the previous three units, to be dealt with in two periods • Glossary: Giving meaning and phonetic transcription of the new words in the units THE TEACHER’S BOOK The Teacher’s Book gives full procedural notes for teaching diff erent parts of each unit. The answer keys to the exercises in the Student’s Book and the transcriptions are also given in the Teacher’s Book. THE WORKBOOK The Workbook mirrors and reinforces the content of the Student’s Book. It off ers: • Further practice of the language and skills taught in class • Four additional tests for students’ self-assessment. THE CD • The CD provides recorded scripts of all listening exercises and dialogues. THE COMPONENTS OF EACH UNIT There are 12 main units in the Student’s Book. Each unit has seven sections and provides language input for seven classroom lessons of 45 minutes each. These 12 richly illustrated, cross-curricular and theme-based units focus on off ering students motivation, memorable lessons, and a joyful learning experience. At the beginning of each unit there are explicit learning objectives that clearly state the main language and skills to be taught in the unit. SECTION 1: GETTING STARTED This section occupies two pages and is designed for one 45-minute lesson in class. It begins with a conversation followed by activities which introduce the topic of the unit. It then presents the vocabulary and the grammar items to be learnt and practised through the skills and activities of the unit. SECTION 2: A CLOSER LOOK 1 A Closer Look 1 presents and practises the vocabulary and pronunciation of the unit. The active vocabulary of the unit is given in an interesting and illustrated way so that it is easy . dịch
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