Answer:
2069.
Step-by-step explanation:
Let Devyani's age in 2073= x years and y be her fathers age Then:
y = 7x
- and in 8 years time ( 2081) we have:
y + 8 = 3(x + 8)
y = 3x + 24 - 8
y = 3x + 16. Eliminating y from the 2 equations:
7x = 3x + 16
4x = 16
x = 4.
So in 2073 she was 4 years old
Therefore she was born in 2069.
The one is the same everywhere so we ignore it.
Choice B
Answer:
DISTANCE
6,370,000.00m
SCALE
1 pixel : 2500m
depth: about 1,800 to 3,200 miles (2,897 to 5,150 km)
Wait wouldn't you only subtract the numbers so it would be 240000-60000 I'm not really sure I'm not the best with math so don't take my word for it I'm sorry if I did it wrong
Answer:
- geometric
- common ratio: -5
- a[n]=-5a[n-1]; 625
Step-by-step explanation:
<h3>A.</h3>
We start this problem the way we start all problems: we read the problem statement and observe the given data and relationships.
Here, we observe that the given numbers are all multiples (powers) of 5, <em>with alternating signs</em>. We know that an arithmetic sequence cannot have alternating signs, so this is <em>not an arithmetic sequence</em>.
We are familiar with the first few powers of 5, so we recognize the terms have a common ratio of -5. If terms have a common ratio, they are a geometric sequence, so this is a geometric sequence.
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<h3>B.</h3>
As we observed in Part A, the common ratio is -5.
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<h3>C.</h3>
The full recursive formula will include the initial value in the sequence:
a[1] = -5
a[n] = -5·a[n-1]
Then the next value is ...
a[4] = -5·a[3] = -5·(-125)
a[4] = 625
