Question

2.
Find 187th term of
an A.P. ... 108, 100, 92
84​

Answer 1

$\huge\underbrace\mathfrak\orange{Answer}$

$a = 108 \\ d = a2 - a1 \\ d = 100 - 108 \\ d = - 8$

$a187 = a + 186d \\ = 108 + 186( - 8) \\ = 108 - 1488 \\ = - 1380$

$187th \: \: term \: \: is \: - 1380$

Answer 2

$\Large\purple{\textbf{\textsf{Answer:}}}$

$\bf ~~~~~~~~~~~~~~~~~~~~Given,~AP: \\ \bf ~~~~~~~~~~~~~~~~~~ 108, \: 100, \: 92, \: 84$

$\bf{Here:}$

$\bf{a_{1}=108}$

$\bf{d=a_{2}-a_{1}}$

$\bf{~~~~=100-108={\purple{\underline{\boxed{\bf -8}}}}}$

$\bf{n=187}$

$\bf{Here,~we~know~that:}$

$\bf{~~~a_{n}=a+(n-1)d}$

$\bf{a_{187}=108+(187-1)-8}$

$\bf{~~~~~~~~=108+(186)-8}$

$\bf{~~~~~~~~=108-1488}$

$\bf{~~~~~~~~={\purple{\underline{\boxed{\bf -1380}}}}}$

$\bf\therefore{187^{th}~term~of~the~AP~is~{\purple{-1380}}}$