Answer :
Final answer:
The sum of the terms of the GP 197.1.Thus the option b) 197.1 is correct.
Explanation:
To find the sum of the terms of the geometric progression (GP), we use the formula for the sum of an n-term GP S= a×(r*n−1)/r−1,where a is the first term, r is the common ratio, and n is the number of terms. Given that the first term a is 0.3, the last term is 38.4, and the number of terms is 8, we can find the common ratio (r) using the formula for the nth term of a GP: =a×r ^(n−1).
Using the formula for the nth term of a GP an = a * r^(n-1), we find r = (38.4/0.3)^(1/7). Substituting the values of a, r, and n into the formula for the sum of the terms of the GP, we calculate Sn to be approximately 197.1.
The calculation involves finding the sum of the terms of the GP by substituting the given values into the formula and performing the necessary operations. The result represents the total sum of the terms in the geometric progression, providing insight into the cumulative effect of the progression. Therefore, option B, 197.1, is the correct answer.
Thus the option b) 197.1 is correct.
Question: A geometric progression (GP) has 8 terms. Its first and last terms are 0.3 and 38.4. Calculate the sum of the terms of the GP." This question specifies the given information and the task to find the sum of the terms, allowing us to apply the appropriate formulas and calculations to determine the answer.
