Question

find t5 if t4=16. and d=-3​

Answer 1

$\huge\tt{\bold{\underline{\underline{Question᎓}}}}$find t5 if t4=16. and d=-3

$\huge\tt{\bold{\underline{\underline{Answer᎓}}}}$

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Formula :

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

$\begin{cases}</p><p></p><p>d& \text={common \:difference} \\</p><p></p><p>n & \text{=nth term}\\</p><p>a&\text{=first term }</p><p></p><p>\end{cases}$

=>D=-3

=>t4=16

=>t+3d=16

=>t+3×(-3)=16

=>t-9=16

$\bold{\boxed{t=25}}$

=>t5=t+4d

=>t+4d=25+4×-3=25-12=13

Therefore,$\bold{\boxed{t5=13}}$

$\huge\mathcal{Learn\:More:}$

$\bold{\boxed{sn=n/2[2a+(n-1)d]}}$

=>sum when last term say 'l' is given<=

$\bold{\boxed{sn=n/2(a+l)}}$

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