Saved Bookmarks
| 1. |
In an A.P, 4th term = 26, 8th term = 72. Find 6th term. |
|
Answer» Given that in A.P 4th term = 26 & 8th term = 72 = a + 3d = 26 and a + 7d = 72 ∴ (a + 7d) - (a + 3d) = 72 - 26 = 4d = 46 = d = \(\frac {46}{4}\) = \(\frac {23}{2}\) ∴ a + 3 x \(\frac {23}{2}\)= 26 = a = 26 - \(\frac {69}{2} = \frac {52-69}{2} = \frac {-17}{2}\) ∴ 6th term = a+5d = \( \frac {-17}{2} + 5\times \frac {23}{2}\) = \( \frac {-17 + 115}{2} = \frac {98}{2} = 49\) Hence, 6th term of A.P is 49 |
|