Question

Find the 8th term of the geometric sequence 10,50, 250, ...

Answer 1

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!

Answer 2

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.