Question

3) For an A.P. the first term (a) = 8 common difference (d) = -5 find t2, and t3​

Answer 1

$\textbf{Given:}$

$\textsf{In an A.P, First term is 8 and common difference is -5}$

$\textbf{To find:}$

$\mathsf{t_2\;and\;t_3}$

$\textbf{Solution:}$

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

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

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

$\mathsf{Here,\;a=8,\;d=-5}$

$\textsf{Using the formula,}$

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

$\mathsf{t_2=a+d}$

$\mathsf{t_2=8+(-5)}$

$\implies\boxed{\mathsf{t_2=3}}$

$\mathsf{and}$

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

$\mathsf{t_3=8+2(-5)}$

$\mathsf{t_3=8-10}$

$\implies\boxed{\mathsf{t_3=-2}}$

$\textbf{Find more:}$

If for an A.P. S_15= 147 and S_ 14 = 123 find t _15

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