Question

Find a24 in the sequence, -8, 12, 32, 52, ...

Answer 1

452

Explanation:

nth term formula: An=a + (n - 1)d

An=nth term

a= 1st term

n=the term# u need to find

d= common difference

common difference in our case is 32-12=20

20 is the common

substitute this value into the nth term formula:

An=-8+(24-1)*20

An=-8+(24-1)*20

An=452

Hope this helps!

Answer 2

You can see that two consecutive terms always differ by 20.

In other words, you generate the next term in the sequence by adding 20 to the previous one.

This implies the following structure:

`\begin{array}{l}a_1=8\\a_2=a_1+20\\a_3=a_2+20=(a_1+20)+20 = a_1+2\cdot 20\\\ldots\\a_n = a_1+(n-1)\cdot 20\end{array}`

In particular, this implies

`a_(24) = a_1+23\cdot 20 = -8+460 = 452`