Jika jumlah menuju tak hingga suatu deret geomrtri adalah 64 dan jumlah semua suku yang bernomor genap adalah 12, maka suku ke-4 deret tersebut adalah …

Langkah 1 Let’s denote the first term of the geometric series as a and the common ratio as r. The sum of an infinite geometric series is given by S = a / (1 - r). Given that the sum is 64, we have 64 = a / (1 - r). Langkah 2 The sum of all even-numbered terms in a geometric series is given by S_even = a * r^2 / (1 - r^2). Given that the sum of all even-numbered terms is 12, we have 12 = a * r^2 / (1 - r^2). Langkah 3 We can solve the system of equations formed in Step 1 and Step 2 to find the values of a and r. Langkah 4 Substitute the value of a from Step 1 into the equation in Step 2 to solve for r. Once you find the value of r, substitute it back into the equation in Step 1 to find the value of a. Langkah 5 Once you have found the values of a and r, you can find the fourth term of the geometric series by using the formula for the nth term of a geometric series: a_n = a * r^(n-1), where n is the term number. Jawaban Akhir 4