Hazeeq Abdullah's answer to Janice's Form4 Malaysia question.

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Hazeeq Abdullah
Hazeeq Abdullah's answer
7 answers (Tutor Details)
1st
recall that formula for the nth term is ar^(n-1) for a GP where is 1st term and r is the common ratio.

for 2, you can make use of this equation to solve the no. of terms. for 2a, 8/243 would be the nth term. sub in the a and r and you can solve for n.

for 2c, I gave another method. since the powers of the terms are increasing by 3 each time, the powers of the terms would follow an arithmetic progression of common difference 3. you can then use this to find the number of terms.