Question

Which term of the AP : 5 ,2 ,-1 , ------ is -49

Answer 1

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

$\huge\tt\red{\bold{\underline{\underline{❥Question᎓}}}}$Which term of the AP : 5 ,2 ,-1 , ------ is -49

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

╔════════════════════════╗

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _✍️

$\bold{a=5}$

$\bold{a2=2}$

D(common difference)=a2-a1

=2-5=$\red{-3}$

let nth term of the AP is -49

Here this formula is used

$\boxed{\bold{an=a+(n-1)d}}$

⇛an=5+(n-1)$×\red{-3}$

⇛$\bold{-49=5-3n+3}$

⇛$\bold{-49-5-3=-3n}$

⇛$\bold{-49-8=-3n}$

⇛$\bold{-57=-3n}$

$\boxed{\red{\bold{n=19}}}$

╚════════════════════════╝

нσρє ıт нєłρs yσυ

_____________________

тнαηkyσυ