Question

(iii) Find the second and third term of
an A.P whose first term is 10 and
*
common difference is 5.
O 5, 10
O 10,15
O 15, 10
O 15, 20​

Answer 1

$\underline{\textsf{Given:}}$

$\textsf{In an A.P, first term is 10 and}$

$\textsf{common difference is 5}$

$\underline{\textsf{To find:}}$

$\textsf{Second and third term}$

$\underline{\textsf{Solution:}}$

$\textsf{We know that,}$

$\mathsf{The\;n\,th\;term\;of\;the\;A.P\;a,a+d,a+2d,.......is}$

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

$\mathsf{Here,\;a=10,\;d=5}$

$\bf\mathsf{Second\;term:}$

$\mathsf{t_2=a+d}$

$\mathsf{t_2=10+5}$

$\implies\boxed{\mathsf{t_2=15}}$

$\bf\mathsf{Third\;term:}$

$\mathsf{t_3=a+2d}$

$\mathsf{t_3=10+2(5)}$

$\mathsf{t_3=10+10}$

$\implies\boxed{\mathsf{t_3=20}}$

$\underline{\textsf{Find more:}}$

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