Answer:
a(7) = -0.4
Step-by-step explanation:
The general formula for a geometric progression is a(n) = a(1)*r^(n - 1), where r is the common ratio. In this problem, a(1) = -6250. To find r, we divide 1250 (the 2nd term) by -6250 (the 1st term), obtaining r = -0.2.
Then the formula for THIS geometric progression is
a(n) = -6250*(-0.2)^(n - 1).
Thus, the 7th term of THIS progression is
a(7) = -6250*(-0.2)^(7 - 1), or -6250*(-0.2)^6, or -0.4
This would be 400%. To get a percent you multiply the number by 100. For example, .62 x 100 equals 62%.
The rule that represents the height of the ball after each bounce is;
H(n) = 400(0.8)^(n - 1)
<h3>Geometric Sequence Progression</h3>
From online sources, we have that;
After first bounce, height = 400 m
After 2nd bounce, height = 320 m
After 3rd bounce, height = 256 m
Formula for the nth term of a geometric sequence is;
T_n = ar^(n - 1)
First term is 400m
Since second term is 320, then common ratio is;
r = 320/400
r = 0.8
Thus, the 6th bounce which is the 6th term will be;
T_6 = 400 * 0.8^(6 - 1)
T_6 = 131 m
Read more about geometric sequence at; brainly.com/question/21688964
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