हिंदी

If $$a = 3, n = 8$$ and $$\mathrm{S}_{n} = 192$$, then the common difference of the A.P. is ______.

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प्रश्न

If $$a = 3, n = 8$$ and $$\mathrm{S}_{n} = 192$$, then the common difference of the A.P. is ______.

विकल्प

  • $$4$$

  • $$5$$

  • $$6$$

  • $$7$$

MCQ
रिक्त स्थान भरें
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उत्तर

If $$a = 3, n = 8$$ and $$\mathrm{S}_{n} = 192$$, then the common difference of the A.P. is 6.

Explanation:

$$192 = \frac{8}{2}[2(3) + 7d]$$ gives $$24 + 7d = 48$$, so $$d = 6$$.

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अध्याय 10: Arithmetic Progression - COMPETENCY-FOCUSED QUESTIONS [पृष्ठ १७१]

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आर.एस. अग्रवाल Mathematics [English] Class 10 ICSE
अध्याय 10 Arithmetic Progression
COMPETENCY-FOCUSED QUESTIONS | Q 37. | पृष्ठ १७१
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