Question

-1,-4,-7,-10 write an equation to find the nth term of each sequence. Then find a24

Answer 1

Answer:

$\boxed {a_{24} = - 70}$

Step-by-step explanation:

According to the following pattern sequence ($-1, -4, -7, -10$ ), it is Arithmetic Sequence, because every negative number is subtracted by $3$. So, to find the 24th term, you need to use the Arithmetic Sequence Formula and solve to find the 24th term:

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

$a_{n}$: nth term in the sequence

$a_{1}$: 1st term

$n$: term position

$d$: Common difference

-Apply to the formula:

$a_{24} = -1 - 3 (24 - 1)$

$a_{n} = a_{24}$

$a_{1} = -1$

$n = 24$

$d = -3$

-Solve:

$a_{24} = -1 - 3 (24 - 1)$

$a_{24} = -1 - 3 (23)$

$a_{24} = -1 - 69$

$\boxed {a_{24} = - 70}$

Therefore, the 24th term is $-70$.