Question

which term of the ap: -2, -7, -12.... will be -77?

Answer 1

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$hy \: frnds \:$!!!!!

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$solution \: \: > \\ \\ a = - 2$

$d = - 7 - ( - 2)$

$= > \: - 5$

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

$- 77 = - 2 + (n - 1) - 5$

$- 77 = - 2 + ( - 5n + 5)$

$- 77 = - 2 - 5n + 5$

$- 77 = 3 - 5n$

$- 77 - 3 = - 5n$

$- 80 = - 5n$

$\frac{ - 80}{ - 5} = n$

$16 = n$

$n = 16 \: is \: the \: answer$

$i \: hope \: its \: helpful \:$