Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
Class 9MathematicsSequences and Progressionsnth termHardLevel 57
0 reads0 ratings0 helpful

A sequence has (a_n=n^3-n). What is (a_5)?

Advertisement

Answer and explanation

Correct answer: 120

Given (a_n=n^3-n), substitute n=5 to find the fifth term: (a_5=5^3-5=125-5=120). Hence, the correct answer is 120. The value 125 is only (5^3); the subtraction of 5 must also be included. Exam tip: while finding an nth term, substitute the value of n in every part of the formula.

Related tags

SequencesProgressionsNth TermSubstitutionCubic Sequence

Frequently asked questions

What is the correct answer to this question?

120

Why is this the correct answer?

Given (a_n=n^3-n), substitute n=5 to find the fifth term: (a_5=5^3-5=125-5=120). Hence, the correct answer is 120. The value 125 is only (5^3); the subtraction of 5 must also be included. Exam tip: while finding an nth term, substitute the value of n in every part of the formula.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: nth term.

Was this question useful?

No ratings yetWrite a review / Rate this question

Student Reviews

No published reviews yet.

KEEP PRACTISING

10 more MCQs
  1. 1In the sequence \((1,4,9,16,\ldots)\), what is the difference between the 15th term and the 14th term?
  2. 2What is the 25th term of the sequence \((-5,-1,3,7,\ldots)\)?
  3. 3If aₙ = n³ − n, what will be the value of a₇ − a₅?
  4. 4What will be the 12th term in the sequence (3, 5, 9, 15, 23, ...)?
  5. 5If a_n = n(n + 2), what will be the value of a_11 − a_8?
  6. 6If a_n = n^2 + 5n - 2, which term is equal to 148?
  7. 7The sequence (3, 8, 15, 24, …) has general term a_n = n² + 2n. Which term is 168?
  8. 8If a_n = n³ + n², what will be the value of a_6 − a_4?
  9. 9If a_n = 4n² − 1, which term is 575?
  10. 10If a_n = n(n + 3), which term is 130?
Advertisement