Question

The first term of G. Pis 3. The last term is 1536 and the sum is 3069. Find the common ratio

Answer 1

Answer:

$\boxed{\text{Answer: Common Ratio = 2}}$

Step-by-step explanation:

$\boxed{\text{In a GP, } t_n = ar^{n-1}}\\\\a = 3\\\\l = 1536\\\\\boxed{\text{Sum of GP when last term is known} = \frac{lr - a}{r - 1}} \\\\\\3069 = \frac{1536 \text{ x } r \text{ - } 3}{r - 1}\\\\3069r - 3069 = 1536r - 3\\\\1533r = 3066\\\\\boxed{\text{Answer: r = 2}}$

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