Question

Find the 10th term of a G.P 3, -6, 12, -24, *

2 points
Which of the following is divisible by 6 *



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Answer 1

${\bold{\sf{G.P.→3,-6,12,-24}}}$

${\large{\sf{r=\frac{-6}{3} = -2}}}$

${\sf{first \:term(a) = 3}}$

$\red{\boxed{\large{\sf{T_{n} = a.r^{n-1}}}}}$

${\large{\sf{T_{10} = (3).(-2)^{10-1}}}}$

${\large{\sf{T_{10} = (3).(-2)^{9}}}}$

${\large{\sf{T_{10} = (3).(-512)}}}$

$\green{\boxed{\large{\sf{T_{10} = -1536}}}}$