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Question
If $$a = 3, n = 8$$ and $$\mathrm{S}_{n} = 192$$, then the common difference of the A.P. is ______.
Options
$$4$$
$$5$$
$$6$$
$$7$$
MCQ
Fill in the Blanks
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Solution
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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