Question

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

पर्याय

• $$4$$

• $$5$$

• $$6$$

• $$7$$

Answer 1

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 $$d = 6$$.