Question

26.1f 7th term and 13th term of an A.P. are 34 and 64 respectively,then its
common difference is
​

Answer 1

${\large{\boxed{\underline{\textbf{\textsf{\color{lightpink}{An}{\color{lightblue}{sw}{\color{lightgreen}{er:}}}}}}}}}$

To Solve:

• If 7th term and 13th term of an A.P. are 34 and 64 respectively, then its common difference is

Solⁿ:

• 7th Term – a + 6d = 34 --------(1)

• 13th Term – a + 12d = 64 --------(2)

Common difference ( d ) = ?

Solving (1) & (2) through Elimination Method :–

ㅤaㅤ+ㅤ6dㅤ=ㅤ 34

ㅤaㅤ+ㅤ12dㅤ=ㅤ64

ㅤ–ㅤ–ㅤ ㅤ ㅤ ㅤ –

￣￣￣￣￣￣￣￣￣￣

ㅤ0ㅤ ㅤ -6d ㅤ=ㅤ-30

￣￣￣￣￣￣￣￣￣￣

$- 6d = - 30 \\ \\ 6d = 30 \\ \\ d = \frac{30}{6} \\ \\{ \boxed{ \blue{d = 5}}}$

ㅤ

HOPE IT HELPS

MARK BRAINLIEST PLS :)