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In Math / Senior High School | 2024-09-08

B. Find the common ratio, generalterm and 8th term of the givengeometric sequence.1. a₁ 3, a 30722. a2=-40, as 50003. as=-240, az=-30​

Asked by samanthaaira09

Answer (1)

Step-by-step explanation:1.• r = a₆ / a₁ = 3072 / 3 = 1024• aₙ = 3 x 1024^(n-1)• a₈ = 3 x 1024^(8-1) = 3 x 1024⁷ = 3 x 1073741824 = 3,221,225,4722. • r = a₅ / a₂ = 5000 / -40 = -125• aₙ = -40 x (-125)^(n-2)• a₈ = -40 x (-125)^(8-2) = -40 x (-125)^6 = -40 x 244140625 = -9,765,625,0003. • r = a₇ / a₃ = -30 / -240 = 1/8• aₙ = -240 x (1/8)^(n-3)• a₈ = -240 x (1/8)^(8-3) = -240 x (1/8)^5 = -240 x 1/32768 = -7.32421875 x 10^-3

Answered by xsaiieee | 2024-09-08