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 10MathematicsArithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APEasyLevel 69
0 reads0 ratings0 helpful

Find the sum of the first (12) terms of the arithmetic progression (17,20,23,\ldots).

Advertisement

Answer and explanation

Correct answer: (402)

The governing concept is the sum of the first n terms of an arithmetic progression. The first term is a = 17 and the common difference is d = 20 − 17 = 3. The twelfth term is a₁₂ = a + 11d = 17 + 11 × 3 = 50. Applying Sₙ = n(a + l) ÷ 2 gives S₁₂ = 12(17 + 50) ÷ 2 = 6 × 67 = 402. Therefore, option B is correct. The multiplier 11 appears because reaching the twelfth term requires 12 − 1 differences. The other options can result from using an incorrect final term or from an arithmetic mistake in the formula.

Related tags

Arithmetic ProgressionAp SumTwelve TermsFinding The Sum Of The First $N$ Terms Of An ApFinding The Sum Of The First N Terms Of An ApArithmetic Progressions (Ap)Arithmetic Progressions ApMathematics

Frequently asked questions

What is the correct answer to this question?

(402)

Why is this the correct answer?

The governing concept is the sum of the first n terms of an arithmetic progression. The first term is a = 17 and the common difference is d = 20 − 17 = 3. The twelfth term is a₁₂ = a + 11d = 17 + 11 × 3 = 50. Applying Sₙ = n(a + l) ÷ 2 gives S₁₂ = 12(17 + 50) ÷ 2 = 6 × 67 = 402. Therefore, option B is correct. The multiplier 11 appears because reaching the twelfth term requires 12 − 1 differences. The other options can result from using an incorrect final term or from an arithmetic mistake in the formula.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Finding the sum of the first $n$ terms of an AP.

Was this question useful?

No ratings yetWrite a review / Rate this question

Student Reviews

No published reviews yet.

KEEP PRACTISING

10 more MCQs
  1. 1If an arithmetic progression has first term \(a\), common difference \(d\), and \(n\) terms, which formula correctly represents the sum of its first \(n\) terms?
  2. 2Find the sum of the first (15) terms of the AP (4,8,12,\ldots).
  3. 3Which formula correctly represents the sum of the first \(n\) terms of an AP with first term \(a\) and common difference \(d\)?
  4. 4What is the sum of the first (25) terms of the AP (1,3,5,\ldots)?
  5. 5What is the sum of the first (12) terms of the AP (10,20,30,\ldots)?
  6. 6What will be the sum of the first (10) terms of the AP (7,14,21,\ldots)?
  7. 7If the first term of an AP is (5), the last term is (45), and the number of terms is (9), what is the sum?
  8. 8Find the sum of the first (30) terms of the AP (3,6,9,\ldots).
  9. 9What is the sum of the first (8) terms of the AP (20,18,16,\ldots)?
  10. 10If the AP is (9,13,17,\ldots), what is the sum of the first (11) terms?
Advertisement