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 ProgressionsGeometric ProgressionEasyLevel 57
0 reads0 ratings0 helpful

If (a_n=5^n) what is the value of (a_3)?

Advertisement

Answer and explanation

Correct answer: 125

Given \(a_n=5^n\), substitute \(n=3\): \(a_3=5^3=5\times5\times5=125\). The value \(25\) is \(5^2\), so it results from using the wrong index. Exam tip: substitute the stated term number directly for \(n\) before evaluating the power.

Related tags

MathematicsSequencesGeometric ProgressionExponentsClass 9

Frequently asked questions

What is the correct answer to this question?

125

Why is this the correct answer?

Given \(a_n=5^n\), substitute \(n=3\): \(a_3=5^3=5\times5\times5=125\). The value \(25\) is \(5^2\), so it results from using the wrong index. Exam tip: substitute the stated term number directly for \(n\) before evaluating the power.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Geometric Progression.

Was this question useful?

No ratings yetWrite a review / Rate this question

Student Reviews

No published reviews yet.

KEEP PRACTISING

10 more MCQs
  1. 1Which sequence is formed by a multiplication rule, not an addition rule?
  2. 2What is the 7th term of (4, 12, 36, 108, ...)?
  3. 3In the sequence \((81,27,9,3,\ldots)\), each term is \(\frac{1}{3}\) of the previous term. What is the sixth term?
  4. 4In the sequence \((13,18,23,28,\ldots)\), which term is 98?
  5. 5In the sequence 3, 6, 12, 24, ..., which is the first term greater than 500?
  6. 6What is the common ratio in the sequence (2, 6, 18, 54, ...)?
  7. 7What will be the next term of the geometric progression (5,10,20,40,\ldots)?
  8. 8If a geometric progression has first term (4) and common ratio (2), what is the second term?
  9. 9What is the common ratio in the sequence (81,27,9,3,\ldots)?
  10. 10Is the sequence (3, 6, 12, 24, ...) a geometric progression?
Advertisement