Question

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

Answer 1

Answer:

843

Step-by-step 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

Answer 2

Answer:

843

Step-by-step explanation:

Here,

First term a = - 24

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

Nth term of an Arithmetic sequence is given as:

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