Use the following sequence of numbers to answer the questions that follow. 320, 80, 20, 5, …… Write the explicit equation for the given sequence.
Answer choices
1. t(n+1) = t(n) * 0.25
2. t(n) = 320 * 0.25n
3. t(n) = 1280 * 0.25n
Which do you think it is?
idk 1??
I had this problem too and I just guessed. The answer is t(n) = 1280 * 0.25n. You're welcome.
To find the explicit equation for the given sequence, we need to examine the pattern of how each term relates to the previous one. Looking at the given sequence, we can see that each term is obtained by dividing the previous term by 4.
The first term is 320.
The second term is obtained by dividing 320 by 4, which is 80.
The third term is obtained by dividing 80 by 4, which is 20.
The fourth term is obtained by dividing 20 by 4, which is 5.
Therefore, the pattern is t(n+1) = t(n) / 4, where t(n) represents the nth term in the sequence.
So, the answer is 1. t(n+1) = t(n) * 0.25.