Mathematics
Mathematics
Problem
In a geometric progression, the 4th term is 81 and the 5th term is 243. Calculate the 8th term. a) b) c) d)Intuitive explanation
A geometric progression scales by a constant ratio between consecutive terms—that's your key to unlocking this problem. Since you know two consecutive terms (the 4th and 5th), you can find that common ratio by dividing one by the other. Once you have , you can use it to "step forward" from the 5th term to the 8th term, multiplying by three more times.
Intuitive explanation
A geometric progression scales by a constant ratio between consecutive terms—that's your key to unlocking this problem. Since you know two consecutive terms (the 4th and 5th), you can find that common ratio by dividing one by the other. Once you have , you can use it to "step forward" from the 5th term to the 8th term, multiplying by three more times.