Mathematics

Mathematics

Problem

In a geometric progression, the 4th term is 81 and the 5th term is 243. Calculate the 8th term. a) 1968319683 b) 729729 c) 65616561 d) 21872187
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 rr by dividing one by the other. Once you have rr, you can use it to "step forward" from the 5th term to the 8th term, multiplying by rr 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 rr by dividing one by the other. Once you have rr, you can use it to "step forward" from the 5th term to the 8th term, multiplying by rr three more times.

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