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Predicting What Comes Next (sequences) · Class 9

5 questions · English, हिन्दी, मराठी · answer key with explanations ·

NCERT: Class 9 Ganita Manjari Part I, Chapter 8: Predicting What Comes Next: Exploring Sequences and Progressions. Our own questions in the chapter's style, drafted with AI help, every answer checked step by step; teacher review pending. Hindi and Marathi: translation - review pending.

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Predicting What Comes Next (sequences) · English

Name: ____________________Date: ____________

Questions

  1. What is the 12th term of 4, 7, 10, 13, ...?

  2. What comes next: 2, 6, 18, 54, ...?

  3. Find the 10th term of 3, 8, 13, 18, ...

  4. What comes next: 1, 4, 9, 16, 25, ...?

  5. In the sequence 100, 93, 86, 79, ..., what is the 8th term?

Answer key

  1. 37 — Each term adds 3; the 12th term = 4 + 11 × 3 = 37.
  2. 162 — Each term is 3 times the one before: 54 × 3 = 162.
  3. 48 — Each term adds 5; the 10th term = 3 + 9 × 5 = 48.
  4. 36 — These are the squares 1², 2², 3², 4², 5², so next is 6² = 36.
  5. 51 — Each term takes away 7; the 8th term = 100 − 7 × 7 = 51.

आगे क्या आएगा (अनुक्रम) · हिन्दी

नाम: ____________________तारीख़: ____________

प्रश्न

  1. 4, 7, 10, 13, ... का 12वाँ पद क्या है?

  2. आगे क्या आएगा: 2, 6, 18, 54, ...?

  3. 3, 8, 13, 18, ... का 10वाँ पद ज्ञात करो।

  4. आगे क्या आएगा: 1, 4, 9, 16, 25, ...?

  5. अनुक्रम 100, 93, 86, 79, ... का 8वाँ पद क्या है?

उत्तर

  1. 37 — हर पद में 3 जुड़ता है; 12वाँ पद = 4 + 11 × 3 = 37।
  2. 162 — हर पद पिछले का 3 गुना है: 54 × 3 = 162।
  3. 48 — हर पद में 5 जुड़ता है; 10वाँ पद = 3 + 9 × 5 = 48।
  4. 36 — ये वर्ग 1², 2², 3², 4², 5² हैं, तो अगला 6² = 36।
  5. 51 — हर पद में 7 घटता है; 8वाँ पद = 100 − 7 × 7 = 51।

पुढे काय येईल (क्रम) · मराठी

नाव: ____________________दिनांक: ____________

प्रश्न

  1. 4, 7, 10, 13, ... चे 12 वे पद कोणते?

  2. पुढे काय येईल: 2, 6, 18, 54, ...?

  3. 3, 8, 13, 18, ... चे 10 वे पद काढा.

  4. पुढे काय येईल: 1, 4, 9, 16, 25, ...?

  5. क्रम 100, 93, 86, 79, ... चे 8 वे पद कोणते?

उत्तरे

  1. 37 — प्रत्येक पदात 3 मिळतात; 12 वे पद = 4 + 11 × 3 = 37.
  2. 162 — प्रत्येक पद आधीच्याच्या 3 पट आहे: 54 × 3 = 162.
  3. 48 — प्रत्येक पदात 5 मिळतात; 10 वे पद = 3 + 9 × 5 = 48.
  4. 36 — हे वर्ग 1², 2², 3², 4², 5² आहेत, म्हणून पुढचा 6² = 36.
  5. 51 — प्रत्येक पदात 7 कमी होतात; 8 वे पद = 100 − 7 × 7 = 51.

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