Find the 9th term of the geometric sequence 6,24,96,...

393216

Explanation:

To find how much the pattern in increasing by, divide the first number by the second

24 ÷ 6 = 4

Multiply 4 (Since that is what the first number divided by the second number in the sequence equals) by the 2nd number in the sequence to see if it equals the third number in the sequence

24 · 4 = 96

Now that we know what the number the pattern is increasing by, continue to multiply the next number in the sequence by 4 until we reach the 9th term

[1] 6

· 4

[2] 24

· 4

[3] 96

· 4

[4] 384

· 4

[5] 1536

· 4

[6] 6144

· 4

[7] 24576

· 4

[8] 98304

· 4

[9] 393216