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 APMediumLevel 69
0 reads0 ratings0 helpful

In an AP, (S_n=2n^2+5n). What is the sum of the first (8) terms?

Advertisement

Answer and explanation

Correct answer: 168

To find the sum of the first 8 terms, substitute \(n=8\) in the given expression: \(S_8=2(8)^2+5(8)=2\times64+40=168\). Hence, the correct answer is 168. The value 160 may result from an incorrect addition after calculating \(2\times64\). Exam tip: When \(S_n\) is given, directly substitute the required number of terms for \(n\).

Related tags

Arithmetic ProgressionSum Of TermsSequence And SeriesSubstitutionQuadratic Expression

Frequently asked questions

What is the correct answer to this question?

168

Why is this the correct answer?

To find the sum of the first 8 terms, substitute \(n=8\) in the given expression: \(S_8=2(8)^2+5(8)=2\times64+40=168\). Hence, the correct answer is 168. The value 160 may result from an incorrect addition after calculating \(2\times64\). Exam tip: When \(S_n\) is given, directly substitute the required number of terms for \(n\).

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