A geometric progression (GP) has 8 terms. Its first and last terms are 0.3 and 38.4.

a. Calculate the common ratio.

b. Calculate the sum of the terms of the GP.

Answer :

Final answer:

The common ratio of the geometric progression is 14. The sum of its terms can be calculated using a formula. Plugging in the given values, we can find the sum.


Explanation:

In a geometric progression (GP), the ratio between consecutive terms is constant. To find the common ratio, we can divide the last term by the first term. In this case, the common ratio is 38-4 / 0-3 = -42 / -3 = 14.

The sum of the terms of a GP can be calculated using the formula: S = a * (1 - r^n) / (1 - r), where S is the sum, a is the first term, r is the common ratio, and n is the number of terms.

Plugging in the given values, we have: S = 0-3 * (1 - 14^8) / (1 - 14).


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