29. Given the geometric series ( 300+360+432+518.4+ldots ), write a geometric series formula, ( S_{n} ), for the sum of the first ( n ) terms. Use the formula to find the sum of the first 10 terms, to the nearest tenth.

Question

Accepted Answer

Step:1 ：Identify: a = 300, r = ( frac{360}{300} = frac{6}{5} ), n = 10Step:2 ：Formula: ( S_{n} = frac{a(r^{n}-1)}{r-1} )Step:3 ：Calculate: ( S_{10} = frac{300((frac{6}{5})^{10}-1)}{frac{6}{5}-1} approx 16218.3 )

Answer

Step: 1 ：Identify: a = 300, r = ( frac{360}{300} = frac{6}{5} ), n = 10Step: 2 ：Formula: ( S_{n} = frac{a(r^{n}-1)}{r-1} )Step: 3 ：Calculate: ( S_{10} = frac{300((frac{6}{5})^{10}-1)}{frac{6}{5}-1} approx 16218.3 )

29. Given the geometric series $300 + 360 + 432 + 518.4 + \dots$ , write a geometric series formula, $S_{n}$ , for the sum of the first $n$ terms. Use the formula to find the sum of the first 10 terms, to the nearest tenth.

Answer

Popular Problems

29. Given the geometric series 300+360+432+518.4+…, write a geometric series formula, Sn, for the sum of the first n terms. Use the formula to find the sum of the first 10 terms, to the nearest tenth.

Answer

Popular Problems

29. Given the geometric series $300 + 360 + 432 + 518.4 + \dots$ , write a geometric series formula, $S_{n}$ , for the sum of the first $n$ terms. Use the formula to find the sum of the first 10 terms, to the nearest tenth.