Question

Find the 52nd term of the arithmetic sequence —24, –7, 10, ...

Answer 1

843

Explanation:

Here,

First term a = - 24

Common difference (d) = - 7 - (-24) = - 7 + 24 = 17

Nth term of an Arithmetic sequence is given as:

`a_n = a + (n-1)d \\ a_(52) = - 24 + (52-1) * 17 \\ a_(52) = - 24 + 51 * 17 \\ a_(52) = - 24 + 51 * 17 \\ a_(52) = - 24 + 867\\ a_(52) = - 24 + 867 \\ \\ \huge \red { \boxed{ a_(52) = 843}}`

Answer 2

843

Explanation:

`a = -24\\d = t2 -t1\\d = -7-(-24)\\d = -7+24\\d = 17\\\\T_(n) = a +(n-1)d\\T_(52) = -24+(52-1)17\\T_(52) = -24+(51)17\\T_(52) = -24+867\\T_(52) = 843`

I hope i am correct