7th term of the sequence 1000 -800 640 -512
1000 * (-0.8)^6 =_____
To find the 7th term of the sequence 1000, -800, 640, -512, we need to find the pattern. Looking at the sequence, we can observe that each term is obtained by multiplying the previous term by -0.8.
Let's calculate the 7th term step by step:
1st term: 1000
2nd term: 1000 * -0.8 = -800
3rd term: -800 * -0.8 = 640
4th term: 640 * -0.8 = -512
5th term: -512 * -0.8 = 409.6
6th term: 409.6 * -0.8 = -327.68
7th term: -327.68 * -0.8 = 262.144
Therefore, the 7th term of the sequence is 262.144.
To find the 7th term of the sequence, we need to first understand the pattern in the given sequence. Let's take a closer look:
1000 - 800 = 200
800 - 640 = 160
640 - 512 = 128
From the pattern we can observe that each term is obtained by multiplying the previous term by a constant factor of -0.8 (or -4/5).
To find the 7th term, we can apply this pattern to the 4th term (which is -512):
-512 * -0.8 = 409.6
Therefore, the 7th term of the sequence is approximately 409.6.