Answer:
A
Step-by-step explanation:
a geometric sequence is where we multiply a factor from element to element.
a1 = $900
a2 = 981 = a1 × f = 900 ×
a3 = 1069.29 = a2 × f = a1 × f × f = s1 × f²

so, now let's try and get f.
remember, 981 = 900 × f
f = 981/900 = 109/100 = 1.09
just to control, we check for s3 :
900 × (1.09)² = 900 × 1.1881 = 1069.29
correct.
so,
a13 = 900 × (1.09)¹² = 2,531.398304
s13 is then the sum of all a1, ..., a13
there is a nice formula for sums of finite sequences
s13 = 900 × (1-f¹³) / (1-f) = 900×(1-(1.09)¹³) / (1-1.09) =
= 900×(1-3.065804612) / (-0.09) =
= 900×(-2.065804612) / (-0.09) = 20,658.04612
.
Answer: False.
Explanation: An alternating series is on in which the alternate terms are negative & positive.
Example, <span>1/2 − 1/4 + 1/8 − 1/16 + ⋯ is an alternating series.
but here, in the given series - all numbers are positive . Hence, it is not an infinite alternating series.
</span>
Answer: p < -3/5
Step-by-step explanation:
2p - 4 < -3p - 7
+3p +3p
------------------------
5p - 4 < -7
+4 +4
------------------------
5p < -3 (divide by 5)
p < -3/5
M = (f(5) -f(-2))/(5 -(-2)) = (-10 -1)/7
m = -11/7
The slope of the line is -11/7.
Answer:
the answer is c
Step-by-step explanation: