Question

find the 10th term of arthemetic sequence
where nth term is given by xn=2n+3

17
-17
12
0​

Answer 1

Step-by-step explanation:

$x_{n} = 2n + 3$

$put \: the \: value \: of \: n = 1 \: we \: have$

$x_{1} = 2(1) + 3 = 5$

$put \: the \: value \: of \: n = 2 \: we \: have$

$x_{2} = 2(2) + 3 = 7$

$we \: can \: find \: the \: difference \: by \: subtrating \: a_{1} from \: a_{2}$

$here \: a_{1} \: = 5 \: and \: a_{2} = 7$

$therefore \: a_{2} - a_{1} = 7 - 5 = 2$

$now \: to \: find \: the \: 10th \: term \: we \: have \:$

$a_{1} = 5$

$a_{2} = 7$

$d = 2$

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

$= > a_{10} = 5 + (10 - 1)2$

$a_{10} = 5 + 18$

$a_{10} = 23$

HOPE THIS HELPS YOU ... =)