Question

given a1 = 7 and d=8, what is the 10th term​

Answer 1

Answer:

The 10th term of this AP will be 79

Answer 2

$\underline{\underline{\large\bf Given -}}$

$\bull \: \sf first\: term, a = 7$

$\bull \: \sf Common\: difference, d = 8$

$\underline{\underline{\large\bf To \; Find -}}$

$\sf 10th\: term ,a_{10}$

$\underline{\underline{\large\bf Solution -}}$

$\tt General \: term \: of \: A.P. \: is \: given \: by -$

$\pink { \underline { \boxed{ \sf{a_n = a+(n-1)d}}}}$

$\sf where$

$\quad\quad \bull \: \sf n = nth \:term\: of \:A.P.$

$\quad\quad \bull \: \sf a = first \:term\: of \:A.P.$

$\quad\quad \bull \: \sf d = common \: difference$

$\underline{\underline{\tt Putting \: Values -}}$

$\sf{a_{10} = 7+(10-1) × 8}$

$\quad\quad\quad\quad\quad\quad\quad\quad \bf(n= 10)$

$\\ :\implies \sf 7+9 × 8$

$\\ :\implies \sf 7+72$

$\\ :\implies \boxed{\sf{79}}$