For the geometric progression, find the sixth term and the sum of the first six terms. 0)008, 0.08, 0.8, 8,... A) a₆ = 80, S₆ = 88.8888 B) a₆ = 800, S₆ = 88.888 C) a₆ = 800, S₆ = 888.888 D) a₆ = 80, S₆ = 888.888

Question

Quizplus · Accepted Answer

The sixth term (a6) is found by multiplying the first term by the common ratio (10) five times: 0.008 * 10^5 = 800. The sum of the first six terms (S6) is calculated using the formula S_n = a(1 - r^n) / (1 - r), where a is the first term, r is the common ratio, and n is the number of terms. Plugging in the values gives S6 = 0.008(1 - 10^6) / (1 - 10) = 888.888.

For the Geometric Progression, Find the Sixth Term and the Sum