Respuesta :
Answer: 781,250
Step-by-step explanation: Begin by studying the pattern.
Here, notice that 10 × 5 is equal to 50.
In the same way, 50 × 5 is equal to 250.
Continuing the same pattern, 250 × 5 is equal to 1,250.
1,250 × 5 is equal to 6,250.
6,250 × 5 is equal to 31,250.
31,250 × 5 is equal to 156,250.
156,250 × 5 is equal to 781,250.
This means that the 8th term in this pattern is 781,250.
First, lets find the common ration between the first 3 terms.
50 / 10 = 5
250 / 50 = 5
Second, multiply the common ration to each term to find the next term.
First term: 10
Second term: 10 * 5 = 50
Third term: 50 * 5 = 250
Fourth term: 250 * 5 = 1,250
Fifth term: 1,250 * 5 = 6,250
Sixth term: 6,250 * 5 = 31,250
Seventh term: 31,250 * 5 = 156,250
Eigth term: 156,250 * 5 = 781,250
Thus, the 8th term of the geometric sequence is 781,250
Best of Luck!