A sequence starts:
1 answer:
Answer:
see explanation
Step-by-step explanation:
Given the sequence
1, 4, 9, 16, ....
has n th term
= n²
(a)
Given the sequence 2, 5, 10, 17, ......
Note the terms are 1 more than the previous given sequence, thus
= n² + 1
(b)
Given 2, 8, 18, 32, ......
Note the terms are twice the original given sequence, thus
= 2n²
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P(7,6), Q(1,6), R(4,2)
We have PQ parallel to the x axis. We'll call that the base,
b = 7 - 1 = 6
The altitude is then the y difference h = 6 - 2 = 4
The area is
Answer: 12 square units
In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:
(7,6), (1,6), (4,2)
(1,6), (4,2), (7,6)
The area is then half the absolute value of the sum of the cross products: