Question

If the second term of an AP is 13 and the 5th term is 25, what is the 7th term?​

Answer 1

$\huge\mathfrak\green{\bold{\underline{☘{ ℘ɧεŋσɱεŋศɭ}☘}}}$

$\huge\tt\red{\bold{\underline{\underline{❥Question᎓}}}}$If the second term of an AP is 13 and the 5th term is 25, what is the 7th term?

$\huge\tt{\boxed{\overbrace{\underbrace{\blue{Answer</p><p> }}}}}$

╔════════════════════════╗

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _✍️

⟹ 2nd term of an AP =13

a+d=13

$\red{\boxed{a=13-d}}$

5th term is 25

⟹a+4d=25

⟹put the value of a from above

⟹13-d+4d=25

⟹13+3d=25

⟹3d=25-13

⟹3d=12

$\red{\boxed{d=4}}$

⟹put the value of d in this equation :-

a=13-d

$\blue{\boxed{a=9}}$

⟹7th term =a+6d=9+6*4=9+24=33

$\red{\boxed{∴The .7th. term .of. an. A P .is. 33}}$

╚════════════════════════╝

нσρє ıт нєłρs yσυ

_____________________

тнαηkyσυ