Question

If t8 = 17, d = 2, find a​

Answer 1

$\underline{\textbf{Given:}}$

$\textsf{In an A.P,}$

$\mathsf{t_8=17\;\&\;d=2}$

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

$\textsf{First term(a)}$

$\underline{\textbf{Solution:}}$

$\underline{\textbf{Concept used:}}$

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

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

$\mathsf{Consider,\;t_8=17}$

$\implies\mathsf{a+7d=17}$

$\implies\mathsf{a+7(2)=17}$

$\implies\mathsf{a+14=17}$

$\implies\mathsf{a=17-14}$

$\implies\boxed{\mathsf{a=3}}$

$\therefore\textbf{First term of the A.P is 3}$

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

1.The 7th and 17th term of an arithmetic progression are 33 and 83 respectively find the ap

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