Question

The sum of 4th and 8th term of an ap is 24 and the sum of 6th and 10th term is 34 find the ap

Answer 1

Hope this helps you. .

- Khushali.S.S.

Answer 2

${\green {\boxed {\mathtt {✓verified\:answer}}}}$

$let \: a \: be \: the \: first \: term \: and \: d \: be \: the \: common \: difference \: of \: the \: ap \\ then \\ t _{4} + t _{8} = 24 \implies(a + 3d) + (a + 7d) = 24 \\ \implies2a + 10d = 24 \\ \implies \: a + 5d = 12 \: \: \: \: .......(1) \\ and \: t _{6} + t _{10} \implies(a + 5d) + (a + 9d) = 34 \\ \implies2a + 14d = 34 \\ \implies \: a + 7d = 17 ........(2)\\ on \: solving \: (1)and(2) \: we \: get \: a = -1/2 \: and \: d= 5/2 \\ \therefore \: fourth \: terms \: is \: 7$